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Finding the Fourth Proportional to 595.59, 820.56 and 471.21

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Solution

The fourth proportional to 595.59, 820.56 and 471.21 is: 649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.59 : 820.56 = 471.21 : x
  2. Step 2: Convert to fraction form
    595.59/820.56 = 471.21/x
  3. Step 3: Cross multiply
    595.59x = 820.56 × 471.21
  4. Step 4: Simplify right side
    595.59x = 386,656.08
  5. Step 5: Solve for x
    x = 386,656.08/595.59
  6. Step 6: Final answer
    x = 649.20

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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.