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Finding the Fourth Proportional to 745.13, 1,117.80 and 312.19

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Solution

The fourth proportional to 745.13, 1,117.80 and 312.19 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.13 : 1,117.80 = 312.19 : x
  2. Step 2: Convert to fraction form
    745.13/1,117.80 = 312.19/x
  3. Step 3: Cross multiply
    745.13x = 1,117.80 × 312.19
  4. Step 4: Simplify right side
    745.13x = 348,963.19
  5. Step 5: Solve for x
    x = 348,963.19/745.13
  6. Step 6: Final answer
    x = 468.32

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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.