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Finding the Fourth Proportional to 935.48, 1,396.54 and 812.50

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Solution

The fourth proportional to 935.48, 1,396.54 and 812.50 is: 1,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.48 : 1,396.54 = 812.50 : x
  2. Step 2: Convert to fraction form
    935.48/1,396.54 = 812.50/x
  3. Step 3: Cross multiply
    935.48x = 1,396.54 × 812.50
  4. Step 4: Simplify right side
    935.48x = 1,134,686.27
  5. Step 5: Solve for x
    x = 1,134,686.27/935.48
  6. Step 6: Final answer
    x = 1,212.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.