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Finding the Fourth Proportional to 753.69, 1,040.40 and 648.35

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Solution

The fourth proportional to 753.69, 1,040.40 and 648.35 is: 894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.69 : 1,040.40 = 648.35 : x
  2. Step 2: Convert to fraction form
    753.69/1,040.40 = 648.35/x
  3. Step 3: Cross multiply
    753.69x = 1,040.40 × 648.35
  4. Step 4: Simplify right side
    753.69x = 674,543.34
  5. Step 5: Solve for x
    x = 674,543.34/753.69
  6. Step 6: Final answer
    x = 894.99

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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.