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Finding the Fourth Proportional to 589.47, 883.45 and 314.88

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Solution

The fourth proportional to 589.47, 883.45 and 314.88 is: 471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.47 : 883.45 = 314.88 : x
  2. Step 2: Convert to fraction form
    589.47/883.45 = 314.88/x
  3. Step 3: Cross multiply
    589.47x = 883.45 × 314.88
  4. Step 4: Simplify right side
    589.47x = 278,180.74
  5. Step 5: Solve for x
    x = 278,180.74/589.47
  6. Step 6: Final answer
    x = 471.92

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1.5x scale

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.