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Finding the Fourth Proportional to 504.69, 753.63 and 442.53

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Solution

The fourth proportional to 504.69, 753.63 and 442.53 is: 660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 753.63 = 442.53 : x
  2. Step 2: Convert to fraction form
    504.69/753.63 = 442.53/x
  3. Step 3: Cross multiply
    504.69x = 753.63 × 442.53
  4. Step 4: Simplify right side
    504.69x = 333,503.88
  5. Step 5: Solve for x
    x = 333,503.88/504.69
  6. Step 6: Final answer
    x = 660.81

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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.