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Finding the Fourth Proportional to 547.94, 756.42 and 478.10

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Solution

The fourth proportional to 547.94, 756.42 and 478.10 is: 660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.94 : 756.42 = 478.10 : x
  2. Step 2: Convert to fraction form
    547.94/756.42 = 478.10/x
  3. Step 3: Cross multiply
    547.94x = 756.42 × 478.10
  4. Step 4: Simplify right side
    547.94x = 361,644.40
  5. Step 5: Solve for x
    x = 361,644.40/547.94
  6. Step 6: Final answer
    x = 660.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.