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Finding the Fourth Proportional to 647.19, 966.20 and 561.20

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Solution

The fourth proportional to 647.19, 966.20 and 561.20 is: 837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.19 : 966.20 = 561.20 : x
  2. Step 2: Convert to fraction form
    647.19/966.20 = 561.20/x
  3. Step 3: Cross multiply
    647.19x = 966.20 × 561.20
  4. Step 4: Simplify right side
    647.19x = 542,223.80
  5. Step 5: Solve for x
    x = 542,223.80/647.19
  6. Step 6: Final answer
    x = 837.81

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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.