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Finding the Fourth Proportional to 624.16, 859.44 and 553.20

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Solution

The fourth proportional to 624.16, 859.44 and 553.20 is: 761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 859.44 = 553.20 : x
  2. Step 2: Convert to fraction form
    624.16/859.44 = 553.20/x
  3. Step 3: Cross multiply
    624.16x = 859.44 × 553.20
  4. Step 4: Simplify right side
    624.16x = 475,442.21
  5. Step 5: Solve for x
    x = 475,442.21/624.16
  6. Step 6: Final answer
    x = 761.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.