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Finding the Fourth Proportional to 616.03, 922.96 and 549.07

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Solution

The fourth proportional to 616.03, 922.96 and 549.07 is: 822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.03 : 922.96 = 549.07 : x
  2. Step 2: Convert to fraction form
    616.03/922.96 = 549.07/x
  3. Step 3: Cross multiply
    616.03x = 922.96 × 549.07
  4. Step 4: Simplify right side
    616.03x = 506,769.65
  5. Step 5: Solve for x
    x = 506,769.65/616.03
  6. Step 6: Final answer
    x = 822.64

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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.