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Finding the Fourth Proportional to 1,005, 1,386.98 and 591.08

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Solution

The fourth proportional to 1,005, 1,386.98 and 591.08 is: 815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005 : 1,386.98 = 591.08 : x
  2. Step 2: Convert to fraction form
    1,005/1,386.98 = 591.08/x
  3. Step 3: Cross multiply
    1,005x = 1,386.98 × 591.08
  4. Step 4: Simplify right side
    1,005x = 819,816.14
  5. Step 5: Solve for x
    x = 819,816.14/1,005
  6. Step 6: Final answer
    x = 815.74

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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.