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Finding the Fourth Proportional to 687.20, 946.56 and 562.40

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Solution

The fourth proportional to 687.20, 946.56 and 562.40 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.20 : 946.56 = 562.40 : x
  2. Step 2: Convert to fraction form
    687.20/946.56 = 562.40/x
  3. Step 3: Cross multiply
    687.20x = 946.56 × 562.40
  4. Step 4: Simplify right side
    687.20x = 532,345.34
  5. Step 5: Solve for x
    x = 532,345.34/687.20
  6. Step 6: Final answer
    x = 774.66

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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.