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Finding the Fourth Proportional to 1,290.63, 1,935.95 and 521.67

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Solution

The fourth proportional to 1,290.63, 1,935.95 and 521.67 is: 782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.63 : 1,935.95 = 521.67 : x
  2. Step 2: Convert to fraction form
    1,290.63/1,935.95 = 521.67/x
  3. Step 3: Cross multiply
    1,290.63x = 1,935.95 × 521.67
  4. Step 4: Simplify right side
    1,290.63x = 1,009,924.43
  5. Step 5: Solve for x
    x = 1,009,924.43/1,290.63
  6. Step 6: Final answer
    x = 782.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.