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Finding the Fourth Proportional to 1,437.53, 1,983.80 and 816.53

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Solution

The fourth proportional to 1,437.53, 1,983.80 and 816.53 is: 1,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.53 : 1,983.80 = 816.53 : x
  2. Step 2: Convert to fraction form
    1,437.53/1,983.80 = 816.53/x
  3. Step 3: Cross multiply
    1,437.53x = 1,983.80 × 816.53
  4. Step 4: Simplify right side
    1,437.53x = 1,619,828.13
  5. Step 5: Solve for x
    x = 1,619,828.13/1,437.53
  6. Step 6: Final answer
    x = 1,126.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.