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Finding the Fourth Proportional to 1,577.89, 2,367.35 and 655.23

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Solution

The fourth proportional to 1,577.89, 2,367.35 and 655.23 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.89 : 2,367.35 = 655.23 : x
  2. Step 2: Convert to fraction form
    1,577.89/2,367.35 = 655.23/x
  3. Step 3: Cross multiply
    1,577.89x = 2,367.35 × 655.23
  4. Step 4: Simplify right side
    1,577.89x = 1,551,158.74
  5. Step 5: Solve for x
    x = 1,551,158.74/1,577.89
  6. Step 6: Final answer
    x = 983.06

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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.