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Finding the Fourth Proportional to 648.61, 973.72 and 619.18

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Solution

The fourth proportional to 648.61, 973.72 and 619.18 is: 929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 973.72 = 619.18 : x
  2. Step 2: Convert to fraction form
    648.61/973.72 = 619.18/x
  3. Step 3: Cross multiply
    648.61x = 973.72 × 619.18
  4. Step 4: Simplify right side
    648.61x = 602,906.29
  5. Step 5: Solve for x
    x = 602,906.29/648.61
  6. Step 6: Final answer
    x = 929.54

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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.