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Finding the Fourth Proportional to 1,009.24, 1,392.80 and 714.60

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Solution

The fourth proportional to 1,009.24, 1,392.80 and 714.60 is: 986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.24 : 1,392.80 = 714.60 : x
  2. Step 2: Convert to fraction form
    1,009.24/1,392.80 = 714.60/x
  3. Step 3: Cross multiply
    1,009.24x = 1,392.80 × 714.60
  4. Step 4: Simplify right side
    1,009.24x = 995,294.88
  5. Step 5: Solve for x
    x = 995,294.88/1,009.24
  6. Step 6: Final answer
    x = 986.18

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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.