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Finding the Fourth Proportional to 498, 686.58 and 435.26

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Solution

The fourth proportional to 498, 686.58 and 435.26 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 686.58 = 435.26 : x
  2. Step 2: Convert to fraction form
    498/686.58 = 435.26/x
  3. Step 3: Cross multiply
    498x = 686.58 × 435.26
  4. Step 4: Simplify right side
    498x = 298,840.81
  5. Step 5: Solve for x
    x = 298,840.81/498
  6. Step 6: Final answer
    x = 600.08

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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.