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Finding the Fourth Proportional to 647.13, 971.86 and 621.03

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Solution

The fourth proportional to 647.13, 971.86 and 621.03 is: 932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.13 : 971.86 = 621.03 : x
  2. Step 2: Convert to fraction form
    647.13/971.86 = 621.03/x
  3. Step 3: Cross multiply
    647.13x = 971.86 × 621.03
  4. Step 4: Simplify right side
    647.13x = 603,551.11
  5. Step 5: Solve for x
    x = 603,551.11/647.13
  6. Step 6: Final answer
    x = 932.66

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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.