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Finding the Fourth Proportional to 1,005.60, 1,387.40 and 674.36

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Solution

The fourth proportional to 1,005.60, 1,387.40 and 674.36 is: 930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.60 : 1,387.40 = 674.36 : x
  2. Step 2: Convert to fraction form
    1,005.60/1,387.40 = 674.36/x
  3. Step 3: Cross multiply
    1,005.60x = 1,387.40 × 674.36
  4. Step 4: Simplify right side
    1,005.60x = 935,607.06
  5. Step 5: Solve for x
    x = 935,607.06/1,005.60
  6. Step 6: Final answer
    x = 930.40

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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.