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Finding the Fourth Proportional to 728.70, 1,004.49 and 570.98

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Solution

The fourth proportional to 728.70, 1,004.49 and 570.98 is: 787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.70 : 1,004.49 = 570.98 : x
  2. Step 2: Convert to fraction form
    728.70/1,004.49 = 570.98/x
  3. Step 3: Cross multiply
    728.70x = 1,004.49 × 570.98
  4. Step 4: Simplify right side
    728.70x = 573,543.70
  5. Step 5: Solve for x
    x = 573,543.70/728.70
  6. Step 6: Final answer
    x = 787.08

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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.