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Finding the Fourth Proportional to 503.42, 758.12 and 457.34

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Solution

The fourth proportional to 503.42, 758.12 and 457.34 is: 688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 758.12 = 457.34 : x
  2. Step 2: Convert to fraction form
    503.42/758.12 = 457.34/x
  3. Step 3: Cross multiply
    503.42x = 758.12 × 457.34
  4. Step 4: Simplify right side
    503.42x = 346,712.52
  5. Step 5: Solve for x
    x = 346,712.52/503.42
  6. Step 6: Final answer
    x = 688.72

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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.