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Finding the Fourth Proportional to 647.39, 966.07 and 578.16

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Solution

The fourth proportional to 647.39, 966.07 and 578.16 is: 862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.39 : 966.07 = 578.16 : x
  2. Step 2: Convert to fraction form
    647.39/966.07 = 578.16/x
  3. Step 3: Cross multiply
    647.39x = 966.07 × 578.16
  4. Step 4: Simplify right side
    647.39x = 558,541.59
  5. Step 5: Solve for x
    x = 558,541.59/647.39
  6. Step 6: Final answer
    x = 862.77

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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.