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Finding the Fourth Proportional to 535.61, 737.40 and 498.35

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Solution

The fourth proportional to 535.61, 737.40 and 498.35 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.61 : 737.40 = 498.35 : x
  2. Step 2: Convert to fraction form
    535.61/737.40 = 498.35/x
  3. Step 3: Cross multiply
    535.61x = 737.40 × 498.35
  4. Step 4: Simplify right side
    535.61x = 367,487.00
  5. Step 5: Solve for x
    x = 367,487.00/535.61
  6. Step 6: Final answer
    x = 686.11

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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.