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Finding the Fourth Proportional to 1,572.90, 2,359.35 and 956.79

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Solution

The fourth proportional to 1,572.90, 2,359.35 and 956.79 is: 1,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.90 : 2,359.35 = 956.79 : x
  2. Step 2: Convert to fraction form
    1,572.90/2,359.35 = 956.79/x
  3. Step 3: Cross multiply
    1,572.90x = 2,359.35 × 956.79
  4. Step 4: Simplify right side
    1,572.90x = 2,257,411.33
  5. Step 5: Solve for x
    x = 2,257,411.33/1,572.90
  6. Step 6: Final answer
    x = 1,435.19

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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.