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Finding the Fourth Proportional to 1,005.42, 1,387.50 and 585.84

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Solution

The fourth proportional to 1,005.42, 1,387.50 and 585.84 is: 808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.42 : 1,387.50 = 585.84 : x
  2. Step 2: Convert to fraction form
    1,005.42/1,387.50 = 585.84/x
  3. Step 3: Cross multiply
    1,005.42x = 1,387.50 × 585.84
  4. Step 4: Simplify right side
    1,005.42x = 812,853
  5. Step 5: Solve for x
    x = 812,853/1,005.42
  6. Step 6: Final answer
    x = 808.47

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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.