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Finding the Fourth Proportional to 495.23, 743.45 and 469.71

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Solution

The fourth proportional to 495.23, 743.45 and 469.71 is: 705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.23 : 743.45 = 469.71 : x
  2. Step 2: Convert to fraction form
    495.23/743.45 = 469.71/x
  3. Step 3: Cross multiply
    495.23x = 743.45 × 469.71
  4. Step 4: Simplify right side
    495.23x = 349,203.55
  5. Step 5: Solve for x
    x = 349,203.55/495.23
  6. Step 6: Final answer
    x = 705.14

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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.