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Finding the Fourth Proportional to 501.88, 693.48 and 414.40

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Solution

The fourth proportional to 501.88, 693.48 and 414.40 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.88 : 693.48 = 414.40 : x
  2. Step 2: Convert to fraction form
    501.88/693.48 = 414.40/x
  3. Step 3: Cross multiply
    501.88x = 693.48 × 414.40
  4. Step 4: Simplify right side
    501.88x = 287,378.11
  5. Step 5: Solve for x
    x = 287,378.11/501.88
  6. Step 6: Final answer
    x = 572.60

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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.