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Finding the Fourth Proportional to 469.11, 702.28 and 346.56

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Solution

The fourth proportional to 469.11, 702.28 and 346.56 is: 518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.11 : 702.28 = 346.56 : x
  2. Step 2: Convert to fraction form
    469.11/702.28 = 346.56/x
  3. Step 3: Cross multiply
    469.11x = 702.28 × 346.56
  4. Step 4: Simplify right side
    469.11x = 243,382.16
  5. Step 5: Solve for x
    x = 243,382.16/469.11
  6. Step 6: Final answer
    x = 518.82

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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.