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Finding the Fourth Proportional to 1,695.61, 2,541.85 and 655.30

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Solution

The fourth proportional to 1,695.61, 2,541.85 and 655.30 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.61 : 2,541.85 = 655.30 : x
  2. Step 2: Convert to fraction form
    1,695.61/2,541.85 = 655.30/x
  3. Step 3: Cross multiply
    1,695.61x = 2,541.85 × 655.30
  4. Step 4: Simplify right side
    1,695.61x = 1,665,674.31
  5. Step 5: Solve for x
    x = 1,665,674.31/1,695.61
  6. Step 6: Final answer
    x = 982.35

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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.