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Finding the Fourth Proportional to 915.93, 1,264.08 and 543.03

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Solution

The fourth proportional to 915.93, 1,264.08 and 543.03 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.93 : 1,264.08 = 543.03 : x
  2. Step 2: Convert to fraction form
    915.93/1,264.08 = 543.03/x
  3. Step 3: Cross multiply
    915.93x = 1,264.08 × 543.03
  4. Step 4: Simplify right side
    915.93x = 686,433.36
  5. Step 5: Solve for x
    x = 686,433.36/915.93
  6. Step 6: Final answer
    x = 749.44

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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.