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Finding the Fourth Proportional to 1,437.02, 2,155.91 and 463.15

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Solution

The fourth proportional to 1,437.02, 2,155.91 and 463.15 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.02 : 2,155.91 = 463.15 : x
  2. Step 2: Convert to fraction form
    1,437.02/2,155.91 = 463.15/x
  3. Step 3: Cross multiply
    1,437.02x = 2,155.91 × 463.15
  4. Step 4: Simplify right side
    1,437.02x = 998,496.62
  5. Step 5: Solve for x
    x = 998,496.62/1,437.02
  6. Step 6: Final answer
    x = 694.84

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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.