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Finding the Fourth Proportional to 656.51, 988.20 and 503.42

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Solution

The fourth proportional to 656.51, 988.20 and 503.42 is: 757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.51 : 988.20 = 503.42 : x
  2. Step 2: Convert to fraction form
    656.51/988.20 = 503.42/x
  3. Step 3: Cross multiply
    656.51x = 988.20 × 503.42
  4. Step 4: Simplify right side
    656.51x = 497,474.70
  5. Step 5: Solve for x
    x = 497,474.70/656.51
  6. Step 6: Final answer
    x = 757.76

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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.