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Finding the Fourth Proportional to 652.93, 979.74 and 499.84

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Solution

The fourth proportional to 652.93, 979.74 and 499.84 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.93 : 979.74 = 499.84 : x
  2. Step 2: Convert to fraction form
    652.93/979.74 = 499.84/x
  3. Step 3: Cross multiply
    652.93x = 979.74 × 499.84
  4. Step 4: Simplify right side
    652.93x = 489,710.79
  5. Step 5: Solve for x
    x = 489,710.79/652.93
  6. Step 6: Final answer
    x = 750.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.