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Finding the Fourth Proportional to 714.80, 985.02 and 549.02

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Solution

The fourth proportional to 714.80, 985.02 and 549.02 is: 756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 985.02 = 549.02 : x
  2. Step 2: Convert to fraction form
    714.80/985.02 = 549.02/x
  3. Step 3: Cross multiply
    714.80x = 985.02 × 549.02
  4. Step 4: Simplify right side
    714.80x = 540,795.68
  5. Step 5: Solve for x
    x = 540,795.68/714.80
  6. Step 6: Final answer
    x = 756.57

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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.