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Finding the Fourth Proportional to 1,050.31, 1,575.65 and 502.39

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Solution

The fourth proportional to 1,050.31, 1,575.65 and 502.39 is: 753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.31 : 1,575.65 = 502.39 : x
  2. Step 2: Convert to fraction form
    1,050.31/1,575.65 = 502.39/x
  3. Step 3: Cross multiply
    1,050.31x = 1,575.65 × 502.39
  4. Step 4: Simplify right side
    1,050.31x = 791,590.80
  5. Step 5: Solve for x
    x = 791,590.80/1,050.31
  6. Step 6: Final answer
    x = 753.67

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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.