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Finding the Fourth Proportional to 502.98, 758.58 and 497.52

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Solution

The fourth proportional to 502.98, 758.58 and 497.52 is: 750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.98 : 758.58 = 497.52 : x
  2. Step 2: Convert to fraction form
    502.98/758.58 = 497.52/x
  3. Step 3: Cross multiply
    502.98x = 758.58 × 497.52
  4. Step 4: Simplify right side
    502.98x = 377,408.72
  5. Step 5: Solve for x
    x = 377,408.72/502.98
  6. Step 6: Final answer
    x = 750.35

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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.