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Finding the Fourth Proportional to 1,059.49, 1,461.38 and 727.35

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Solution

The fourth proportional to 1,059.49, 1,461.38 and 727.35 is: 1,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.49 : 1,461.38 = 727.35 : x
  2. Step 2: Convert to fraction form
    1,059.49/1,461.38 = 727.35/x
  3. Step 3: Cross multiply
    1,059.49x = 1,461.38 × 727.35
  4. Step 4: Simplify right side
    1,059.49x = 1,062,925.63
  5. Step 5: Solve for x
    x = 1,062,925.63/1,059.49
  6. Step 6: Final answer
    x = 1,003.24

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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.