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Finding the Fourth Proportional to 1,655.29, 2,284.36 and 909.31

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Solution

The fourth proportional to 1,655.29, 2,284.36 and 909.31 is: 1,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.29 : 2,284.36 = 909.31 : x
  2. Step 2: Convert to fraction form
    1,655.29/2,284.36 = 909.31/x
  3. Step 3: Cross multiply
    1,655.29x = 2,284.36 × 909.31
  4. Step 4: Simplify right side
    1,655.29x = 2,077,180.61
  5. Step 5: Solve for x
    x = 2,077,180.61/1,655.29
  6. Step 6: Final answer
    x = 1,254.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.