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Finding the Fourth Proportional to 472.42, 707.56 and 342

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Solution

The fourth proportional to 472.42, 707.56 and 342 is: 512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.42 : 707.56 = 342 : x
  2. Step 2: Convert to fraction form
    472.42/707.56 = 342/x
  3. Step 3: Cross multiply
    472.42x = 707.56 × 342
  4. Step 4: Simplify right side
    472.42x = 241,985.52
  5. Step 5: Solve for x
    x = 241,985.52/472.42
  6. Step 6: Final answer
    x = 512.23

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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.