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Finding the Fourth Proportional to 540.83, 746.75 and 478.73

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Solution

The fourth proportional to 540.83, 746.75 and 478.73 is: 661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.83 : 746.75 = 478.73 : x
  2. Step 2: Convert to fraction form
    540.83/746.75 = 478.73/x
  3. Step 3: Cross multiply
    540.83x = 746.75 × 478.73
  4. Step 4: Simplify right side
    540.83x = 357,491.63
  5. Step 5: Solve for x
    x = 357,491.63/540.83
  6. Step 6: Final answer
    x = 661.01

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1.5x scale

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.