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Finding the Fourth Proportional to 1,050.43, 1,575.95 and 503.08

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Solution

The fourth proportional to 1,050.43, 1,575.95 and 503.08 is: 754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.43 : 1,575.95 = 503.08 : x
  2. Step 2: Convert to fraction form
    1,050.43/1,575.95 = 503.08/x
  3. Step 3: Cross multiply
    1,050.43x = 1,575.95 × 503.08
  4. Step 4: Simplify right side
    1,050.43x = 792,828.93
  5. Step 5: Solve for x
    x = 792,828.93/1,050.43
  6. Step 6: Final answer
    x = 754.77

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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.