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Finding the Fourth Proportional to 501.58, 693.03 and 414.46

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Solution

The fourth proportional to 501.58, 693.03 and 414.46 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.58 : 693.03 = 414.46 : x
  2. Step 2: Convert to fraction form
    501.58/693.03 = 414.46/x
  3. Step 3: Cross multiply
    501.58x = 693.03 × 414.46
  4. Step 4: Simplify right side
    501.58x = 287,233.21
  5. Step 5: Solve for x
    x = 287,233.21/501.58
  6. Step 6: Final answer
    x = 572.66

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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.