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Finding the Fourth Proportional to 1,669.31, 2,502.37 and 572.90

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Solution

The fourth proportional to 1,669.31, 2,502.37 and 572.90 is: 858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.31 : 2,502.37 = 572.90 : x
  2. Step 2: Convert to fraction form
    1,669.31/2,502.37 = 572.90/x
  3. Step 3: Cross multiply
    1,669.31x = 2,502.37 × 572.90
  4. Step 4: Simplify right side
    1,669.31x = 1,433,607.77
  5. Step 5: Solve for x
    x = 1,433,607.77/1,669.31
  6. Step 6: Final answer
    x = 858.80

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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.