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Finding the Fourth Proportional to 469.48, 702.30 and 378.28

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Solution

The fourth proportional to 469.48, 702.30 and 378.28 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 702.30 = 378.28 : x
  2. Step 2: Convert to fraction form
    469.48/702.30 = 378.28/x
  3. Step 3: Cross multiply
    469.48x = 702.30 × 378.28
  4. Step 4: Simplify right side
    469.48x = 265,666.04
  5. Step 5: Solve for x
    x = 265,666.04/469.48
  6. Step 6: Final answer
    x = 565.87

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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.