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Finding the Fourth Proportional to 775.92, 1,070.31 and 589.47

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Solution

The fourth proportional to 775.92, 1,070.31 and 589.47 is: 813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.92 : 1,070.31 = 589.47 : x
  2. Step 2: Convert to fraction form
    775.92/1,070.31 = 589.47/x
  3. Step 3: Cross multiply
    775.92x = 1,070.31 × 589.47
  4. Step 4: Simplify right side
    775.92x = 630,915.64
  5. Step 5: Solve for x
    x = 630,915.64/775.92
  6. Step 6: Final answer
    x = 813.12

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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.