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Finding the Fourth Proportional to 462.90, 690.72 and 460.20

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Solution

The fourth proportional to 462.90, 690.72 and 460.20 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 690.72 = 460.20 : x
  2. Step 2: Convert to fraction form
    462.90/690.72 = 460.20/x
  3. Step 3: Cross multiply
    462.90x = 690.72 × 460.20
  4. Step 4: Simplify right side
    462.90x = 317,869.34
  5. Step 5: Solve for x
    x = 317,869.34/462.90
  6. Step 6: Final answer
    x = 686.69

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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.