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Finding the Fourth Proportional to 776.71, 1,071.30 and 527.60

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Solution

The fourth proportional to 776.71, 1,071.30 and 527.60 is: 727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.71 : 1,071.30 = 527.60 : x
  2. Step 2: Convert to fraction form
    776.71/1,071.30 = 527.60/x
  3. Step 3: Cross multiply
    776.71x = 1,071.30 × 527.60
  4. Step 4: Simplify right side
    776.71x = 565,212.52
  5. Step 5: Solve for x
    x = 565,212.52/776.71
  6. Step 6: Final answer
    x = 727.70

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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.