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Finding the Fourth Proportional to 575.54, 858.85 and 514.01

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Solution

The fourth proportional to 575.54, 858.85 and 514.01 is: 767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.54 : 858.85 = 514.01 : x
  2. Step 2: Convert to fraction form
    575.54/858.85 = 514.01/x
  3. Step 3: Cross multiply
    575.54x = 858.85 × 514.01
  4. Step 4: Simplify right side
    575.54x = 441,451.91
  5. Step 5: Solve for x
    x = 441,451.91/575.54
  6. Step 6: Final answer
    x = 767.03

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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.