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Finding the Fourth Proportional to 714.35, 1,069.64 and 574.77

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Solution

The fourth proportional to 714.35, 1,069.64 and 574.77 is: 860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.35 : 1,069.64 = 574.77 : x
  2. Step 2: Convert to fraction form
    714.35/1,069.64 = 574.77/x
  3. Step 3: Cross multiply
    714.35x = 1,069.64 × 574.77
  4. Step 4: Simplify right side
    714.35x = 614,794.11
  5. Step 5: Solve for x
    x = 614,794.11/714.35
  6. Step 6: Final answer
    x = 860.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.