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Finding the Fourth Proportional to 616.02, 924.30 and 451.65

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Solution

The fourth proportional to 616.02, 924.30 and 451.65 is: 677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 924.30 = 451.65 : x
  2. Step 2: Convert to fraction form
    616.02/924.30 = 451.65/x
  3. Step 3: Cross multiply
    616.02x = 924.30 × 451.65
  4. Step 4: Simplify right side
    616.02x = 417,460.10
  5. Step 5: Solve for x
    x = 417,460.10/616.02
  6. Step 6: Final answer
    x = 677.67

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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.