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Finding the Fourth Proportional to 935.51, 1,290.95 and 515.78

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Solution

The fourth proportional to 935.51, 1,290.95 and 515.78 is: 711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.51 : 1,290.95 = 515.78 : x
  2. Step 2: Convert to fraction form
    935.51/1,290.95 = 515.78/x
  3. Step 3: Cross multiply
    935.51x = 1,290.95 × 515.78
  4. Step 4: Simplify right side
    935.51x = 665,846.19
  5. Step 5: Solve for x
    x = 665,846.19/935.51
  6. Step 6: Final answer
    x = 711.75

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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.