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Finding the Fourth Proportional to 60.48, 83.46 and 56.40

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Solution

The fourth proportional to 60.48, 83.46 and 56.40 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.48 : 83.46 = 56.40 : x
  2. Step 2: Convert to fraction form
    60.48/83.46 = 56.40/x
  3. Step 3: Cross multiply
    60.48x = 83.46 × 56.40
  4. Step 4: Simplify right side
    60.48x = 4,707.14
  5. Step 5: Solve for x
    x = 4,707.14/60.48
  6. Step 6: Final answer
    x = 77.83

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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.