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Finding the Fourth Proportional to 974.15, 1,453.51 and 915.06

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Solution

The fourth proportional to 974.15, 1,453.51 and 915.06 is: 1,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,453.51 = 915.06 : x
  2. Step 2: Convert to fraction form
    974.15/1,453.51 = 915.06/x
  3. Step 3: Cross multiply
    974.15x = 1,453.51 × 915.06
  4. Step 4: Simplify right side
    974.15x = 1,330,048.86
  5. Step 5: Solve for x
    x = 1,330,048.86/974.15
  6. Step 6: Final answer
    x = 1,365.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.