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Finding the Fourth Proportional to 709.29, 977.79 and 498.83

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Solution

The fourth proportional to 709.29, 977.79 and 498.83 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 977.79 = 498.83 : x
  2. Step 2: Convert to fraction form
    709.29/977.79 = 498.83/x
  3. Step 3: Cross multiply
    709.29x = 977.79 × 498.83
  4. Step 4: Simplify right side
    709.29x = 487,746.10
  5. Step 5: Solve for x
    x = 487,746.10/709.29
  6. Step 6: Final answer
    x = 687.65

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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.