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Finding the Fourth Proportional to 615.45, 916.93 and 584.46

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Solution

The fourth proportional to 615.45, 916.93 and 584.46 is: 870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.45 : 916.93 = 584.46 : x
  2. Step 2: Convert to fraction form
    615.45/916.93 = 584.46/x
  3. Step 3: Cross multiply
    615.45x = 916.93 × 584.46
  4. Step 4: Simplify right side
    615.45x = 535,908.91
  5. Step 5: Solve for x
    x = 535,908.91/615.45
  6. Step 6: Final answer
    x = 870.76

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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.