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Finding the Fourth Proportional to 753.03, 1,036.80 and 654.21

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Solution

The fourth proportional to 753.03, 1,036.80 and 654.21 is: 900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.03 : 1,036.80 = 654.21 : x
  2. Step 2: Convert to fraction form
    753.03/1,036.80 = 654.21/x
  3. Step 3: Cross multiply
    753.03x = 1,036.80 × 654.21
  4. Step 4: Simplify right side
    753.03x = 678,284.93
  5. Step 5: Solve for x
    x = 678,284.93/753.03
  6. Step 6: Final answer
    x = 900.74

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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.