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Finding the Fourth Proportional to 1,050.31, 1,575.40 and 473.59

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Solution

The fourth proportional to 1,050.31, 1,575.40 and 473.59 is: 710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.31 : 1,575.40 = 473.59 : x
  2. Step 2: Convert to fraction form
    1,050.31/1,575.40 = 473.59/x
  3. Step 3: Cross multiply
    1,050.31x = 1,575.40 × 473.59
  4. Step 4: Simplify right side
    1,050.31x = 746,093.69
  5. Step 5: Solve for x
    x = 746,093.69/1,050.31
  6. Step 6: Final answer
    x = 710.36

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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.