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Finding the Fourth Proportional to 500.78, 745.86 and 474.75

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Solution

The fourth proportional to 500.78, 745.86 and 474.75 is: 707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.78 : 745.86 = 474.75 : x
  2. Step 2: Convert to fraction form
    500.78/745.86 = 474.75/x
  3. Step 3: Cross multiply
    500.78x = 745.86 × 474.75
  4. Step 4: Simplify right side
    500.78x = 354,097.04
  5. Step 5: Solve for x
    x = 354,097.04/500.78
  6. Step 6: Final answer
    x = 707.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.