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Finding the Fourth Proportional to 1,285.45, 1,927.02 and 463.53

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Solution

The fourth proportional to 1,285.45, 1,927.02 and 463.53 is: 694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.45 : 1,927.02 = 463.53 : x
  2. Step 2: Convert to fraction form
    1,285.45/1,927.02 = 463.53/x
  3. Step 3: Cross multiply
    1,285.45x = 1,927.02 × 463.53
  4. Step 4: Simplify right side
    1,285.45x = 893,231.58
  5. Step 5: Solve for x
    x = 893,231.58/1,285.45
  6. Step 6: Final answer
    x = 694.88

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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.