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Finding the Fourth Proportional to 1,591, 2,386.62 and 565

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Solution

The fourth proportional to 1,591, 2,386.62 and 565 is: 847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591 : 2,386.62 = 565 : x
  2. Step 2: Convert to fraction form
    1,591/2,386.62 = 565/x
  3. Step 3: Cross multiply
    1,591x = 2,386.62 × 565
  4. Step 4: Simplify right side
    1,591x = 1,348,440.30
  5. Step 5: Solve for x
    x = 1,348,440.30/1,591
  6. Step 6: Final answer
    x = 847.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.