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Finding the Fourth Proportional to 469.34, 698.57 and 456.38

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Solution

The fourth proportional to 469.34, 698.57 and 456.38 is: 679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 698.57 = 456.38 : x
  2. Step 2: Convert to fraction form
    469.34/698.57 = 456.38/x
  3. Step 3: Cross multiply
    469.34x = 698.57 × 456.38
  4. Step 4: Simplify right side
    469.34x = 318,813.38
  5. Step 5: Solve for x
    x = 318,813.38/469.34
  6. Step 6: Final answer
    x = 679.28

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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.