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Finding the Fourth Proportional to 1,726.55, 2,590 and 631.15

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Solution

The fourth proportional to 1,726.55, 2,590 and 631.15 is: 946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.55 : 2,590 = 631.15 : x
  2. Step 2: Convert to fraction form
    1,726.55/2,590 = 631.15/x
  3. Step 3: Cross multiply
    1,726.55x = 2,590 × 631.15
  4. Step 4: Simplify right side
    1,726.55x = 1,634,665.55
  5. Step 5: Solve for x
    x = 1,634,665.55/1,726.55
  6. Step 6: Final answer
    x = 946.78

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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.