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Finding the Fourth Proportional to 745.19, 1,117.92 and 312.32

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Solution

The fourth proportional to 745.19, 1,117.92 and 312.32 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.19 : 1,117.92 = 312.32 : x
  2. Step 2: Convert to fraction form
    745.19/1,117.92 = 312.32/x
  3. Step 3: Cross multiply
    745.19x = 1,117.92 × 312.32
  4. Step 4: Simplify right side
    745.19x = 349,148.77
  5. Step 5: Solve for x
    x = 349,148.77/745.19
  6. Step 6: Final answer
    x = 468.54

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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.