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Finding the Fourth Proportional to 915.47, 1,262.89 and 653.03

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Solution

The fourth proportional to 915.47, 1,262.89 and 653.03 is: 900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.47 : 1,262.89 = 653.03 : x
  2. Step 2: Convert to fraction form
    915.47/1,262.89 = 653.03/x
  3. Step 3: Cross multiply
    915.47x = 1,262.89 × 653.03
  4. Step 4: Simplify right side
    915.47x = 824,705.06
  5. Step 5: Solve for x
    x = 824,705.06/915.47
  6. Step 6: Final answer
    x = 900.85

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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.