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Finding the Fourth Proportional to 650.61, 977.94 and 618.21

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Solution

The fourth proportional to 650.61, 977.94 and 618.21 is: 929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 977.94 = 618.21 : x
  2. Step 2: Convert to fraction form
    650.61/977.94 = 618.21/x
  3. Step 3: Cross multiply
    650.61x = 977.94 × 618.21
  4. Step 4: Simplify right side
    650.61x = 604,572.29
  5. Step 5: Solve for x
    x = 604,572.29/650.61
  6. Step 6: Final answer
    x = 929.24

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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.