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Finding the Fourth Proportional to 1,005.60, 1,387.68 and 585.98

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Solution

The fourth proportional to 1,005.60, 1,387.68 and 585.98 is: 808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.60 : 1,387.68 = 585.98 : x
  2. Step 2: Convert to fraction form
    1,005.60/1,387.68 = 585.98/x
  3. Step 3: Cross multiply
    1,005.60x = 1,387.68 × 585.98
  4. Step 4: Simplify right side
    1,005.60x = 813,145.79
  5. Step 5: Solve for x
    x = 813,145.79/1,005.60
  6. Step 6: Final answer
    x = 808.62

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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.