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Finding the Fourth Proportional to 529.96, 798.28 and 497.56

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Solution

The fourth proportional to 529.96, 798.28 and 497.56 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.96 : 798.28 = 497.56 : x
  2. Step 2: Convert to fraction form
    529.96/798.28 = 497.56/x
  3. Step 3: Cross multiply
    529.96x = 798.28 × 497.56
  4. Step 4: Simplify right side
    529.96x = 397,192.20
  5. Step 5: Solve for x
    x = 397,192.20/529.96
  6. Step 6: Final answer
    x = 749.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.