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Finding the Fourth Proportional to 915.60, 1,261.78 and 666.53

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Solution

The fourth proportional to 915.60, 1,261.78 and 666.53 is: 918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.60 : 1,261.78 = 666.53 : x
  2. Step 2: Convert to fraction form
    915.60/1,261.78 = 666.53/x
  3. Step 3: Cross multiply
    915.60x = 1,261.78 × 666.53
  4. Step 4: Simplify right side
    915.60x = 841,010.98
  5. Step 5: Solve for x
    x = 841,010.98/915.60
  6. Step 6: Final answer
    x = 918.53

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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.