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Finding the Fourth Proportional to 647.22, 966.13 and 599.03

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Solution

The fourth proportional to 647.22, 966.13 and 599.03 is: 894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 966.13 = 599.03 : x
  2. Step 2: Convert to fraction form
    647.22/966.13 = 599.03/x
  3. Step 3: Cross multiply
    647.22x = 966.13 × 599.03
  4. Step 4: Simplify right side
    647.22x = 578,737.86
  5. Step 5: Solve for x
    x = 578,737.86/647.22
  6. Step 6: Final answer
    x = 894.20

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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.