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Finding the Fourth Proportional to 500.07, 745.08 and 472.13

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Solution

The fourth proportional to 500.07, 745.08 and 472.13 is: 703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.07 : 745.08 = 472.13 : x
  2. Step 2: Convert to fraction form
    500.07/745.08 = 472.13/x
  3. Step 3: Cross multiply
    500.07x = 745.08 × 472.13
  4. Step 4: Simplify right side
    500.07x = 351,774.62
  5. Step 5: Solve for x
    x = 351,774.62/500.07
  6. Step 6: Final answer
    x = 703.45

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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.