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Finding the Fourth Proportional to 842.40, 1,162.35 and 510.75

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Solution

The fourth proportional to 842.40, 1,162.35 and 510.75 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.40 : 1,162.35 = 510.75 : x
  2. Step 2: Convert to fraction form
    842.40/1,162.35 = 510.75/x
  3. Step 3: Cross multiply
    842.40x = 1,162.35 × 510.75
  4. Step 4: Simplify right side
    842.40x = 593,670.26
  5. Step 5: Solve for x
    x = 593,670.26/842.40
  6. Step 6: Final answer
    x = 704.74

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Double scale
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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.