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Finding the Fourth Proportional to 656.23, 988.23 and 474.90

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Solution

The fourth proportional to 656.23, 988.23 and 474.90 is: 715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.23 : 988.23 = 474.90 : x
  2. Step 2: Convert to fraction form
    656.23/988.23 = 474.90/x
  3. Step 3: Cross multiply
    656.23x = 988.23 × 474.90
  4. Step 4: Simplify right side
    656.23x = 469,305.49
  5. Step 5: Solve for x
    x = 469,305.49/656.23
  6. Step 6: Final answer
    x = 715.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.