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Finding the Fourth Proportional to 503.55, 751.32 and 442.80

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Solution

The fourth proportional to 503.55, 751.32 and 442.80 is: 660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.55 : 751.32 = 442.80 : x
  2. Step 2: Convert to fraction form
    503.55/751.32 = 442.80/x
  3. Step 3: Cross multiply
    503.55x = 751.32 × 442.80
  4. Step 4: Simplify right side
    503.55x = 332,684.50
  5. Step 5: Solve for x
    x = 332,684.50/503.55
  6. Step 6: Final answer
    x = 660.68

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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.