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Finding the Fourth Proportional to 653.23, 979.30 and 457.67

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Solution

The fourth proportional to 653.23, 979.30 and 457.67 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 979.30 = 457.67 : x
  2. Step 2: Convert to fraction form
    653.23/979.30 = 457.67/x
  3. Step 3: Cross multiply
    653.23x = 979.30 × 457.67
  4. Step 4: Simplify right side
    653.23x = 448,196.23
  5. Step 5: Solve for x
    x = 448,196.23/653.23
  6. Step 6: Final answer
    x = 686.12

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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.