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Finding the Fourth Proportional to 1,285.35, 1,928.04 and 463.47

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Solution

The fourth proportional to 1,285.35, 1,928.04 and 463.47 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.35 : 1,928.04 = 463.47 : x
  2. Step 2: Convert to fraction form
    1,285.35/1,928.04 = 463.47/x
  3. Step 3: Cross multiply
    1,285.35x = 1,928.04 × 463.47
  4. Step 4: Simplify right side
    1,285.35x = 893,588.70
  5. Step 5: Solve for x
    x = 893,588.70/1,285.35
  6. Step 6: Final answer
    x = 695.21

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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.