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Finding the Fourth Proportional to 562, 838.70 and 492.76

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Solution

The fourth proportional to 562, 838.70 and 492.76 is: 735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 838.70 = 492.76 : x
  2. Step 2: Convert to fraction form
    562/838.70 = 492.76/x
  3. Step 3: Cross multiply
    562x = 838.70 × 492.76
  4. Step 4: Simplify right side
    562x = 413,277.81
  5. Step 5: Solve for x
    x = 413,277.81/562
  6. Step 6: Final answer
    x = 735.37

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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.