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Finding the Fourth Proportional to 697.95, 1,046.72 and 265.01

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Solution

The fourth proportional to 697.95, 1,046.72 and 265.01 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.95 : 1,046.72 = 265.01 : x
  2. Step 2: Convert to fraction form
    697.95/1,046.72 = 265.01/x
  3. Step 3: Cross multiply
    697.95x = 1,046.72 × 265.01
  4. Step 4: Simplify right side
    697.95x = 277,386.70
  5. Step 5: Solve for x
    x = 277,386.70/697.95
  6. Step 6: Final answer
    x = 397.43

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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.