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Finding the Fourth Proportional to 575.62, 862.35 and 340.66

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Solution

The fourth proportional to 575.62, 862.35 and 340.66 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.62 : 862.35 = 340.66 : x
  2. Step 2: Convert to fraction form
    575.62/862.35 = 340.66/x
  3. Step 3: Cross multiply
    575.62x = 862.35 × 340.66
  4. Step 4: Simplify right side
    575.62x = 293,762.14
  5. Step 5: Solve for x
    x = 293,762.14/575.62
  6. Step 6: Final answer
    x = 510.34

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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.