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Finding the Fourth Proportional to 1,577.85, 2,365.52 and 653.87

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Solution

The fourth proportional to 1,577.85, 2,365.52 and 653.87 is: 980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.85 : 2,365.52 = 653.87 : x
  2. Step 2: Convert to fraction form
    1,577.85/2,365.52 = 653.87/x
  3. Step 3: Cross multiply
    1,577.85x = 2,365.52 × 653.87
  4. Step 4: Simplify right side
    1,577.85x = 1,546,727.47
  5. Step 5: Solve for x
    x = 1,546,727.47/1,577.85
  6. Step 6: Final answer
    x = 980.28

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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.