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Finding the Fourth Proportional to 748.72, 1,026.80 and 711.28

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Solution

The fourth proportional to 748.72, 1,026.80 and 711.28 is: 975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.72 : 1,026.80 = 711.28 : x
  2. Step 2: Convert to fraction form
    748.72/1,026.80 = 711.28/x
  3. Step 3: Cross multiply
    748.72x = 1,026.80 × 711.28
  4. Step 4: Simplify right side
    748.72x = 730,342.30
  5. Step 5: Solve for x
    x = 730,342.30/748.72
  6. Step 6: Final answer
    x = 975.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.