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Finding the Fourth Proportional to 647.61, 966.71 and 599.42

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Solution

The fourth proportional to 647.61, 966.71 and 599.42 is: 894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.61 : 966.71 = 599.42 : x
  2. Step 2: Convert to fraction form
    647.61/966.71 = 599.42/x
  3. Step 3: Cross multiply
    647.61x = 966.71 × 599.42
  4. Step 4: Simplify right side
    647.61x = 579,457.48
  5. Step 5: Solve for x
    x = 579,457.48/647.61
  6. Step 6: Final answer
    x = 894.76

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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.