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Finding the Fourth Proportional to 1,285.46, 1,926.69 and 592.17

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Solution

The fourth proportional to 1,285.46, 1,926.69 and 592.17 is: 887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.46 : 1,926.69 = 592.17 : x
  2. Step 2: Convert to fraction form
    1,285.46/1,926.69 = 592.17/x
  3. Step 3: Cross multiply
    1,285.46x = 1,926.69 × 592.17
  4. Step 4: Simplify right side
    1,285.46x = 1,140,928.02
  5. Step 5: Solve for x
    x = 1,140,928.02/1,285.46
  6. Step 6: Final answer
    x = 887.56

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1.5x scale

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.