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Finding the Fourth Proportional to 547.95, 757.02 and 465.91

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Solution

The fourth proportional to 547.95, 757.02 and 465.91 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.95 : 757.02 = 465.91 : x
  2. Step 2: Convert to fraction form
    547.95/757.02 = 465.91/x
  3. Step 3: Cross multiply
    547.95x = 757.02 × 465.91
  4. Step 4: Simplify right side
    547.95x = 352,703.19
  5. Step 5: Solve for x
    x = 352,703.19/547.95
  6. Step 6: Final answer
    x = 643.68

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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.