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Finding the Fourth Proportional to 772.61, 1,153.29 and 715.50

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Solution

The fourth proportional to 772.61, 1,153.29 and 715.50 is: 1,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,153.29 = 715.50 : x
  2. Step 2: Convert to fraction form
    772.61/1,153.29 = 715.50/x
  3. Step 3: Cross multiply
    772.61x = 1,153.29 × 715.50
  4. Step 4: Simplify right side
    772.61x = 825,179.41
  5. Step 5: Solve for x
    x = 825,179.41/772.61
  6. Step 6: Final answer
    x = 1,068.05

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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.