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Finding the Fourth Proportional to 935.85, 1,404.18 and 502.50

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Solution

The fourth proportional to 935.85, 1,404.18 and 502.50 is: 753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.85 : 1,404.18 = 502.50 : x
  2. Step 2: Convert to fraction form
    935.85/1,404.18 = 502.50/x
  3. Step 3: Cross multiply
    935.85x = 1,404.18 × 502.50
  4. Step 4: Simplify right side
    935.85x = 705,600.45
  5. Step 5: Solve for x
    x = 705,600.45/935.85
  6. Step 6: Final answer
    x = 753.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.