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Finding the Fourth Proportional to 697.29, 1,045.93 and 312.27

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Solution

The fourth proportional to 697.29, 1,045.93 and 312.27 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.29 : 1,045.93 = 312.27 : x
  2. Step 2: Convert to fraction form
    697.29/1,045.93 = 312.27/x
  3. Step 3: Cross multiply
    697.29x = 1,045.93 × 312.27
  4. Step 4: Simplify right side
    697.29x = 326,610.34
  5. Step 5: Solve for x
    x = 326,610.34/697.29
  6. Step 6: Final answer
    x = 468.40

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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.