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Finding the Fourth Proportional to 462.76, 689.15 and 460.12

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Solution

The fourth proportional to 462.76, 689.15 and 460.12 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.76 : 689.15 = 460.12 : x
  2. Step 2: Convert to fraction form
    462.76/689.15 = 460.12/x
  3. Step 3: Cross multiply
    462.76x = 689.15 × 460.12
  4. Step 4: Simplify right side
    462.76x = 317,091.70
  5. Step 5: Solve for x
    x = 317,091.70/462.76
  6. Step 6: Final answer
    x = 685.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.