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Finding the Fourth Proportional to 901.94, 1,353.07 and 285.63

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Solution

The fourth proportional to 901.94, 1,353.07 and 285.63 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.94 : 1,353.07 = 285.63 : x
  2. Step 2: Convert to fraction form
    901.94/1,353.07 = 285.63/x
  3. Step 3: Cross multiply
    901.94x = 1,353.07 × 285.63
  4. Step 4: Simplify right side
    901.94x = 386,477.38
  5. Step 5: Solve for x
    x = 386,477.38/901.94
  6. Step 6: Final answer
    x = 428.50

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Half scale
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Double scale
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Similar ratio
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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.