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Finding the Fourth Proportional to 480.48, 717.78 and 342.45

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Solution

The fourth proportional to 480.48, 717.78 and 342.45 is: 511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 717.78 = 342.45 : x
  2. Step 2: Convert to fraction form
    480.48/717.78 = 342.45/x
  3. Step 3: Cross multiply
    480.48x = 717.78 × 342.45
  4. Step 4: Simplify right side
    480.48x = 245,803.76
  5. Step 5: Solve for x
    x = 245,803.76/480.48
  6. Step 6: Final answer
    x = 511.58

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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.