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Finding the Fourth Proportional to 728.64, 1,004.85 and 655.74

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Solution

The fourth proportional to 728.64, 1,004.85 and 655.74 is: 904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,004.85 = 655.74 : x
  2. Step 2: Convert to fraction form
    728.64/1,004.85 = 655.74/x
  3. Step 3: Cross multiply
    728.64x = 1,004.85 × 655.74
  4. Step 4: Simplify right side
    728.64x = 658,920.34
  5. Step 5: Solve for x
    x = 658,920.34/728.64
  6. Step 6: Final answer
    x = 904.32

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1.5x scale

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.