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Finding the Fourth Proportional to 562.97, 777.08 and 342.07

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Solution

The fourth proportional to 562.97, 777.08 and 342.07 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.97 : 777.08 = 342.07 : x
  2. Step 2: Convert to fraction form
    562.97/777.08 = 342.07/x
  3. Step 3: Cross multiply
    562.97x = 777.08 × 342.07
  4. Step 4: Simplify right side
    562.97x = 265,815.76
  5. Step 5: Solve for x
    x = 265,815.76/562.97
  6. Step 6: Final answer
    x = 472.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.