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Finding the Fourth Proportional to 698.51, 964.35 and 541.50

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Solution

The fourth proportional to 698.51, 964.35 and 541.50 is: 747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.51 : 964.35 = 541.50 : x
  2. Step 2: Convert to fraction form
    698.51/964.35 = 541.50/x
  3. Step 3: Cross multiply
    698.51x = 964.35 × 541.50
  4. Step 4: Simplify right side
    698.51x = 522,195.53
  5. Step 5: Solve for x
    x = 522,195.53/698.51
  6. Step 6: Final answer
    x = 747.59

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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.