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Finding the Fourth Proportional to 1,655.34, 2,284.40 and 909.28

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Solution

The fourth proportional to 1,655.34, 2,284.40 and 909.28 is: 1,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.34 : 2,284.40 = 909.28 : x
  2. Step 2: Convert to fraction form
    1,655.34/2,284.40 = 909.28/x
  3. Step 3: Cross multiply
    1,655.34x = 2,284.40 × 909.28
  4. Step 4: Simplify right side
    1,655.34x = 2,077,159.23
  5. Step 5: Solve for x
    x = 2,077,159.23/1,655.34
  6. Step 6: Final answer
    x = 1,254.82

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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.