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Finding the Fourth Proportional to 1,050.05, 1,572.69 and 502.62

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Solution

The fourth proportional to 1,050.05, 1,572.69 and 502.62 is: 752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.05 : 1,572.69 = 502.62 : x
  2. Step 2: Convert to fraction form
    1,050.05/1,572.69 = 502.62/x
  3. Step 3: Cross multiply
    1,050.05x = 1,572.69 × 502.62
  4. Step 4: Simplify right side
    1,050.05x = 790,462.93
  5. Step 5: Solve for x
    x = 790,462.93/1,050.05
  6. Step 6: Final answer
    x = 752.79

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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.