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Finding the Fourth Proportional to 697, 1,045.95 and 312.25

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Solution

The fourth proportional to 697, 1,045.95 and 312.25 is: 468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 1,045.95 = 312.25 : x
  2. Step 2: Convert to fraction form
    697/1,045.95 = 312.25/x
  3. Step 3: Cross multiply
    697x = 1,045.95 × 312.25
  4. Step 4: Simplify right side
    697x = 326,597.89
  5. Step 5: Solve for x
    x = 326,597.89/697
  6. Step 6: Final answer
    x = 468.58

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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.