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Finding the Fourth Proportional to 503.12, 750.78 and 442.37

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Solution

The fourth proportional to 503.12, 750.78 and 442.37 is: 660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 750.78 = 442.37 : x
  2. Step 2: Convert to fraction form
    503.12/750.78 = 442.37/x
  3. Step 3: Cross multiply
    503.12x = 750.78 × 442.37
  4. Step 4: Simplify right side
    503.12x = 332,118.79
  5. Step 5: Solve for x
    x = 332,118.79/503.12
  6. Step 6: Final answer
    x = 660.13

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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.