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Finding the Fourth Proportional to 643.90, 963.45 and 586.30

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Solution

The fourth proportional to 643.90, 963.45 and 586.30 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.90 : 963.45 = 586.30 : x
  2. Step 2: Convert to fraction form
    643.90/963.45 = 586.30/x
  3. Step 3: Cross multiply
    643.90x = 963.45 × 586.30
  4. Step 4: Simplify right side
    643.90x = 564,870.74
  5. Step 5: Solve for x
    x = 564,870.74/643.90
  6. Step 6: Final answer
    x = 877.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.