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Finding the Fourth Proportional to 616.32, 919.62 and 554.96

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Solution

The fourth proportional to 616.32, 919.62 and 554.96 is: 828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.32 : 919.62 = 554.96 : x
  2. Step 2: Convert to fraction form
    616.32/919.62 = 554.96/x
  3. Step 3: Cross multiply
    616.32x = 919.62 × 554.96
  4. Step 4: Simplify right side
    616.32x = 510,352.32
  5. Step 5: Solve for x
    x = 510,352.32/616.32
  6. Step 6: Final answer
    x = 828.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.