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Finding the Fourth Proportional to 697, 1,045.90 and 312.26

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Solution

The fourth proportional to 697, 1,045.90 and 312.26 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 1,045.90 = 312.26 : x
  2. Step 2: Convert to fraction form
    697/1,045.90 = 312.26/x
  3. Step 3: Cross multiply
    697x = 1,045.90 × 312.26
  4. Step 4: Simplify right side
    697x = 326,592.73
  5. Step 5: Solve for x
    x = 326,592.73/697
  6. Step 6: Final answer
    x = 468.57

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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.