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Finding the Fourth Proportional to 473.85, 707.86 and 342.73

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Solution

The fourth proportional to 473.85, 707.86 and 342.73 is: 511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 707.86 = 342.73 : x
  2. Step 2: Convert to fraction form
    473.85/707.86 = 342.73/x
  3. Step 3: Cross multiply
    473.85x = 707.86 × 342.73
  4. Step 4: Simplify right side
    473.85x = 242,602.23
  5. Step 5: Solve for x
    x = 242,602.23/473.85
  6. Step 6: Final answer
    x = 511.98

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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.