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Finding the Fourth Proportional to 772.88, 1,152.61 and 729.77

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Solution

The fourth proportional to 772.88, 1,152.61 and 729.77 is: 1,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,152.61 = 729.77 : x
  2. Step 2: Convert to fraction form
    772.88/1,152.61 = 729.77/x
  3. Step 3: Cross multiply
    772.88x = 1,152.61 × 729.77
  4. Step 4: Simplify right side
    772.88x = 841,140.20
  5. Step 5: Solve for x
    x = 841,140.20/772.88
  6. Step 6: Final answer
    x = 1,088.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.