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Finding the Fourth Proportional to 935.47, 1,290.78 and 655.60

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Solution

The fourth proportional to 935.47, 1,290.78 and 655.60 is: 904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.47 : 1,290.78 = 655.60 : x
  2. Step 2: Convert to fraction form
    935.47/1,290.78 = 655.60/x
  3. Step 3: Cross multiply
    935.47x = 1,290.78 × 655.60
  4. Step 4: Simplify right side
    935.47x = 846,235.37
  5. Step 5: Solve for x
    x = 846,235.37/935.47
  6. Step 6: Final answer
    x = 904.61

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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.