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Finding the Fourth Proportional to 776.42, 1,070.58 and 527.88

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Solution

The fourth proportional to 776.42, 1,070.58 and 527.88 is: 727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.42 : 1,070.58 = 527.88 : x
  2. Step 2: Convert to fraction form
    776.42/1,070.58 = 527.88/x
  3. Step 3: Cross multiply
    776.42x = 1,070.58 × 527.88
  4. Step 4: Simplify right side
    776.42x = 565,143.76
  5. Step 5: Solve for x
    x = 565,143.76/776.42
  6. Step 6: Final answer
    x = 727.89

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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.