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Finding the Fourth Proportional to 560.64, 772.92 and 528.84

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Solution

The fourth proportional to 560.64, 772.92 and 528.84 is: 729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 772.92 = 528.84 : x
  2. Step 2: Convert to fraction form
    560.64/772.92 = 528.84/x
  3. Step 3: Cross multiply
    560.64x = 772.92 × 528.84
  4. Step 4: Simplify right side
    560.64x = 408,751.01
  5. Step 5: Solve for x
    x = 408,751.01/560.64
  6. Step 6: Final answer
    x = 729.08

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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.