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Finding the Fourth Proportional to 615.84, 849.13 and 491.40

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Solution

The fourth proportional to 615.84, 849.13 and 491.40 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 849.13 = 491.40 : x
  2. Step 2: Convert to fraction form
    615.84/849.13 = 491.40/x
  3. Step 3: Cross multiply
    615.84x = 849.13 × 491.40
  4. Step 4: Simplify right side
    615.84x = 417,262.48
  5. Step 5: Solve for x
    x = 417,262.48/615.84
  6. Step 6: Final answer
    x = 677.55

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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.