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Finding the Fourth Proportional to 647.46, 966.47 and 561.40

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Solution

The fourth proportional to 647.46, 966.47 and 561.40 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.46 : 966.47 = 561.40 : x
  2. Step 2: Convert to fraction form
    647.46/966.47 = 561.40/x
  3. Step 3: Cross multiply
    647.46x = 966.47 × 561.40
  4. Step 4: Simplify right side
    647.46x = 542,571.03
  5. Step 5: Solve for x
    x = 542,571.03/647.46
  6. Step 6: Final answer
    x = 838.00

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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.