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Finding the Fourth Proportional to 915.74, 1,262.49 and 653.30

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Solution

The fourth proportional to 915.74, 1,262.49 and 653.30 is: 900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.74 : 1,262.49 = 653.30 : x
  2. Step 2: Convert to fraction form
    915.74/1,262.49 = 653.30/x
  3. Step 3: Cross multiply
    915.74x = 1,262.49 × 653.30
  4. Step 4: Simplify right side
    915.74x = 824,784.72
  5. Step 5: Solve for x
    x = 824,784.72/915.74
  6. Step 6: Final answer
    x = 900.68

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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.