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Finding the Fourth Proportional to 522.40, 716.72 and 478.88

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Solution

The fourth proportional to 522.40, 716.72 and 478.88 is: 657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.40 : 716.72 = 478.88 : x
  2. Step 2: Convert to fraction form
    522.40/716.72 = 478.88/x
  3. Step 3: Cross multiply
    522.40x = 716.72 × 478.88
  4. Step 4: Simplify right side
    522.40x = 343,222.87
  5. Step 5: Solve for x
    x = 343,222.87/522.40
  6. Step 6: Final answer
    x = 657.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.