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Finding the Fourth Proportional to 616.75, 851.12 and 340.75

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Solution

The fourth proportional to 616.75, 851.12 and 340.75 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 851.12 = 340.75 : x
  2. Step 2: Convert to fraction form
    616.75/851.12 = 340.75/x
  3. Step 3: Cross multiply
    616.75x = 851.12 × 340.75
  4. Step 4: Simplify right side
    616.75x = 290,019.14
  5. Step 5: Solve for x
    x = 290,019.14/616.75
  6. Step 6: Final answer
    x = 470.24

Related Problems

Find fourth proportional to 308.38, 425.56 and 170.38
Half scale
Find fourth proportional to 1,233.50, 1,702.24 and 681.50
Double scale
Find fourth proportional to 617.75, 852.50 and 341.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.