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Finding the Fourth Proportional to 575.53, 862.78 and 210.07

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Solution

The fourth proportional to 575.53, 862.78 and 210.07 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.53 : 862.78 = 210.07 : x
  2. Step 2: Convert to fraction form
    575.53/862.78 = 210.07/x
  3. Step 3: Cross multiply
    575.53x = 862.78 × 210.07
  4. Step 4: Simplify right side
    575.53x = 181,240.14
  5. Step 5: Solve for x
    x = 181,240.14/575.53
  6. Step 6: Final answer
    x = 314.91

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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.