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Finding the Fourth Proportional to 745.47, 1,117.53 and 312.66

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Solution

The fourth proportional to 745.47, 1,117.53 and 312.66 is: 468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.47 : 1,117.53 = 312.66 : x
  2. Step 2: Convert to fraction form
    745.47/1,117.53 = 312.66/x
  3. Step 3: Cross multiply
    745.47x = 1,117.53 × 312.66
  4. Step 4: Simplify right side
    745.47x = 349,406.93
  5. Step 5: Solve for x
    x = 349,406.93/745.47
  6. Step 6: Final answer
    x = 468.71

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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.