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Finding the Fourth Proportional to 590.31, 807.57 and 587.81

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Solution

The fourth proportional to 590.31, 807.57 and 587.81 is: 804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 807.57 = 587.81 : x
  2. Step 2: Convert to fraction form
    590.31/807.57 = 587.81/x
  3. Step 3: Cross multiply
    590.31x = 807.57 × 587.81
  4. Step 4: Simplify right side
    590.31x = 474,699.74
  5. Step 5: Solve for x
    x = 474,699.74/590.31
  6. Step 6: Final answer
    x = 804.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.