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Finding the Fourth Proportional to 714.72, 980.16 and 677.28

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Solution

The fourth proportional to 714.72, 980.16 and 677.28 is: 928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.72 : 980.16 = 677.28 : x
  2. Step 2: Convert to fraction form
    714.72/980.16 = 677.28/x
  3. Step 3: Cross multiply
    714.72x = 980.16 × 677.28
  4. Step 4: Simplify right side
    714.72x = 663,842.76
  5. Step 5: Solve for x
    x = 663,842.76/714.72
  6. Step 6: Final answer
    x = 928.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.