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Finding the Fourth Proportional to 1,565.99, 2,347.76 and 915.96

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Solution

The fourth proportional to 1,565.99, 2,347.76 and 915.96 is: 1,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.99 : 2,347.76 = 915.96 : x
  2. Step 2: Convert to fraction form
    1,565.99/2,347.76 = 915.96/x
  3. Step 3: Cross multiply
    1,565.99x = 2,347.76 × 915.96
  4. Step 4: Simplify right side
    1,565.99x = 2,150,456.54
  5. Step 5: Solve for x
    x = 2,150,456.54/1,565.99
  6. Step 6: Final answer
    x = 1,373.23

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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.