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Finding the Fourth Proportional to 745.31, 1,117.97 and 312.77

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Solution

The fourth proportional to 745.31, 1,117.97 and 312.77 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.31 : 1,117.97 = 312.77 : x
  2. Step 2: Convert to fraction form
    745.31/1,117.97 = 312.77/x
  3. Step 3: Cross multiply
    745.31x = 1,117.97 × 312.77
  4. Step 4: Simplify right side
    745.31x = 349,660.32
  5. Step 5: Solve for x
    x = 349,660.32/745.31
  6. Step 6: Final answer
    x = 469.15

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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.