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Finding the Fourth Proportional to 647.79, 966.71 and 578.59

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Solution

The fourth proportional to 647.79, 966.71 and 578.59 is: 863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.79 : 966.71 = 578.59 : x
  2. Step 2: Convert to fraction form
    647.79/966.71 = 578.59/x
  3. Step 3: Cross multiply
    647.79x = 966.71 × 578.59
  4. Step 4: Simplify right side
    647.79x = 559,328.74
  5. Step 5: Solve for x
    x = 559,328.74/647.79
  6. Step 6: Final answer
    x = 863.44

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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.