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Finding the Fourth Proportional to 697.23, 1,045.84 and 312.21

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Solution

The fourth proportional to 697.23, 1,045.84 and 312.21 is: 468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.23 : 1,045.84 = 312.21 : x
  2. Step 2: Convert to fraction form
    697.23/1,045.84 = 312.21/x
  3. Step 3: Cross multiply
    697.23x = 1,045.84 × 312.21
  4. Step 4: Simplify right side
    697.23x = 326,515.70
  5. Step 5: Solve for x
    x = 326,515.70/697.23
  6. Step 6: Final answer
    x = 468.31

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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.