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Finding the Fourth Proportional to 613.88, 916.35 and 568.76

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Solution

The fourth proportional to 613.88, 916.35 and 568.76 is: 849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.88 : 916.35 = 568.76 : x
  2. Step 2: Convert to fraction form
    613.88/916.35 = 568.76/x
  3. Step 3: Cross multiply
    613.88x = 916.35 × 568.76
  4. Step 4: Simplify right side
    613.88x = 521,183.23
  5. Step 5: Solve for x
    x = 521,183.23/613.88
  6. Step 6: Final answer
    x = 849.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.