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Finding the Fourth Proportional to 697.54, 1,046.27 and 313.06

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Solution

The fourth proportional to 697.54, 1,046.27 and 313.06 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 1,046.27 = 313.06 : x
  2. Step 2: Convert to fraction form
    697.54/1,046.27 = 313.06/x
  3. Step 3: Cross multiply
    697.54x = 1,046.27 × 313.06
  4. Step 4: Simplify right side
    697.54x = 327,545.29
  5. Step 5: Solve for x
    x = 327,545.29/697.54
  6. Step 6: Final answer
    x = 469.57

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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.