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Finding the Fourth Proportional to 653.84, 979.96 and 457.77

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Solution

The fourth proportional to 653.84, 979.96 and 457.77 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.84 : 979.96 = 457.77 : x
  2. Step 2: Convert to fraction form
    653.84/979.96 = 457.77/x
  3. Step 3: Cross multiply
    653.84x = 979.96 × 457.77
  4. Step 4: Simplify right side
    653.84x = 448,596.29
  5. Step 5: Solve for x
    x = 448,596.29/653.84
  6. Step 6: Final answer
    x = 686.09

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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.