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Finding the Fourth Proportional to 797.76, 1,101.38 and 714.72

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Solution

The fourth proportional to 797.76, 1,101.38 and 714.72 is: 986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,101.38 = 714.72 : x
  2. Step 2: Convert to fraction form
    797.76/1,101.38 = 714.72/x
  3. Step 3: Cross multiply
    797.76x = 1,101.38 × 714.72
  4. Step 4: Simplify right side
    797.76x = 787,178.31
  5. Step 5: Solve for x
    x = 787,178.31/797.76
  6. Step 6: Final answer
    x = 986.74

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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.