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Finding the Fourth Proportional to 653.82, 977.13 and 478.49

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Solution

The fourth proportional to 653.82, 977.13 and 478.49 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 977.13 = 478.49 : x
  2. Step 2: Convert to fraction form
    653.82/977.13 = 478.49/x
  3. Step 3: Cross multiply
    653.82x = 977.13 × 478.49
  4. Step 4: Simplify right side
    653.82x = 467,546.93
  5. Step 5: Solve for x
    x = 467,546.93/653.82
  6. Step 6: Final answer
    x = 715.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.