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Finding the Fourth Proportional to 915.40, 1,262.46 and 565.84

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Solution

The fourth proportional to 915.40, 1,262.46 and 565.84 is: 780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.40 : 1,262.46 = 565.84 : x
  2. Step 2: Convert to fraction form
    915.40/1,262.46 = 565.84/x
  3. Step 3: Cross multiply
    915.40x = 1,262.46 × 565.84
  4. Step 4: Simplify right side
    915.40x = 714,350.37
  5. Step 5: Solve for x
    x = 714,350.37/915.40
  6. Step 6: Final answer
    x = 780.37

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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.