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Finding the Fourth Proportional to 915.09, 1,262.94 and 565.83

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Solution

The fourth proportional to 915.09, 1,262.94 and 565.83 is: 780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.09 : 1,262.94 = 565.83 : x
  2. Step 2: Convert to fraction form
    915.09/1,262.94 = 565.83/x
  3. Step 3: Cross multiply
    915.09x = 1,262.94 × 565.83
  4. Step 4: Simplify right side
    915.09x = 714,609.34
  5. Step 5: Solve for x
    x = 714,609.34/915.09
  6. Step 6: Final answer
    x = 780.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.