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Finding the Fourth Proportional to 670.75, 926.04 and 434.80

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Solution

The fourth proportional to 670.75, 926.04 and 434.80 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.75 : 926.04 = 434.80 : x
  2. Step 2: Convert to fraction form
    670.75/926.04 = 434.80/x
  3. Step 3: Cross multiply
    670.75x = 926.04 × 434.80
  4. Step 4: Simplify right side
    670.75x = 402,642.19
  5. Step 5: Solve for x
    x = 402,642.19/670.75
  6. Step 6: Final answer
    x = 600.29

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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.