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Finding the Fourth Proportional to 647.47, 966.50 and 599.28

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Solution

The fourth proportional to 647.47, 966.50 and 599.28 is: 894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.47 : 966.50 = 599.28 : x
  2. Step 2: Convert to fraction form
    647.47/966.50 = 599.28/x
  3. Step 3: Cross multiply
    647.47x = 966.50 × 599.28
  4. Step 4: Simplify right side
    647.47x = 579,204.12
  5. Step 5: Solve for x
    x = 579,204.12/647.47
  6. Step 6: Final answer
    x = 894.57

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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.