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Finding the Fourth Proportional to 915.71, 1,374.30 and 697.01

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Solution

The fourth proportional to 915.71, 1,374.30 and 697.01 is: 1,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.71 : 1,374.30 = 697.01 : x
  2. Step 2: Convert to fraction form
    915.71/1,374.30 = 697.01/x
  3. Step 3: Cross multiply
    915.71x = 1,374.30 × 697.01
  4. Step 4: Simplify right side
    915.71x = 957,893.97
  5. Step 5: Solve for x
    x = 957,893.97/915.71
  6. Step 6: Final answer
    x = 1,046.07

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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.