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Finding the Fourth Proportional to 540.47, 745.86 and 307.60

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Solution

The fourth proportional to 540.47, 745.86 and 307.60 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 745.86 = 307.60 : x
  2. Step 2: Convert to fraction form
    540.47/745.86 = 307.60/x
  3. Step 3: Cross multiply
    540.47x = 745.86 × 307.60
  4. Step 4: Simplify right side
    540.47x = 229,426.54
  5. Step 5: Solve for x
    x = 229,426.54/540.47
  6. Step 6: Final answer
    x = 424.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.