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Finding the Fourth Proportional to 745.45, 1,117.24 and 470.93

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Solution

The fourth proportional to 745.45, 1,117.24 and 470.93 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.45 : 1,117.24 = 470.93 : x
  2. Step 2: Convert to fraction form
    745.45/1,117.24 = 470.93/x
  3. Step 3: Cross multiply
    745.45x = 1,117.24 × 470.93
  4. Step 4: Simplify right side
    745.45x = 526,135.07
  5. Step 5: Solve for x
    x = 526,135.07/745.45
  6. Step 6: Final answer
    x = 705.80

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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.