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Finding the Fourth Proportional to 1,525.18, 2,288.17 and 647.72

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Solution

The fourth proportional to 1,525.18, 2,288.17 and 647.72 is: 971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.18 : 2,288.17 = 647.72 : x
  2. Step 2: Convert to fraction form
    1,525.18/2,288.17 = 647.72/x
  3. Step 3: Cross multiply
    1,525.18x = 2,288.17 × 647.72
  4. Step 4: Simplify right side
    1,525.18x = 1,482,082.03
  5. Step 5: Solve for x
    x = 1,482,082.03/1,525.18
  6. Step 6: Final answer
    x = 971.74

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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.