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Finding the Fourth Proportional to 497.26, 687.46 and 435.70

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Solution

The fourth proportional to 497.26, 687.46 and 435.70 is: 602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 687.46 = 435.70 : x
  2. Step 2: Convert to fraction form
    497.26/687.46 = 435.70/x
  3. Step 3: Cross multiply
    497.26x = 687.46 × 435.70
  4. Step 4: Simplify right side
    497.26x = 299,526.32
  5. Step 5: Solve for x
    x = 299,526.32/497.26
  6. Step 6: Final answer
    x = 602.35

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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.