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Finding the Fourth Proportional to 504.40, 698.12 and 491.60

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Solution

The fourth proportional to 504.40, 698.12 and 491.60 is: 680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 698.12 = 491.60 : x
  2. Step 2: Convert to fraction form
    504.40/698.12 = 491.60/x
  3. Step 3: Cross multiply
    504.40x = 698.12 × 491.60
  4. Step 4: Simplify right side
    504.40x = 343,195.79
  5. Step 5: Solve for x
    x = 343,195.79/504.40
  6. Step 6: Final answer
    x = 680.40

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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.