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Finding the Fourth Proportional to 1,059.25, 1,460.80 and 909.83

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Solution

The fourth proportional to 1,059.25, 1,460.80 and 909.83 is: 1,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.25 : 1,460.80 = 909.83 : x
  2. Step 2: Convert to fraction form
    1,059.25/1,460.80 = 909.83/x
  3. Step 3: Cross multiply
    1,059.25x = 1,460.80 × 909.83
  4. Step 4: Simplify right side
    1,059.25x = 1,329,079.66
  5. Step 5: Solve for x
    x = 1,329,079.66/1,059.25
  6. Step 6: Final answer
    x = 1,254.74

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1.5x scale

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.