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Finding the Fourth Proportional to 590.80, 815.63 and 472.38

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Solution

The fourth proportional to 590.80, 815.63 and 472.38 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 815.63 = 472.38 : x
  2. Step 2: Convert to fraction form
    590.80/815.63 = 472.38/x
  3. Step 3: Cross multiply
    590.80x = 815.63 × 472.38
  4. Step 4: Simplify right side
    590.80x = 385,284.94
  5. Step 5: Solve for x
    x = 385,284.94/590.80
  6. Step 6: Final answer
    x = 652.14

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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.