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Finding the Fourth Proportional to 714.48, 985.01 and 698.96

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Solution

The fourth proportional to 714.48, 985.01 and 698.96 is: 963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 985.01 = 698.96 : x
  2. Step 2: Convert to fraction form
    714.48/985.01 = 698.96/x
  3. Step 3: Cross multiply
    714.48x = 985.01 × 698.96
  4. Step 4: Simplify right side
    714.48x = 688,482.59
  5. Step 5: Solve for x
    x = 688,482.59/714.48
  6. Step 6: Final answer
    x = 963.61

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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.