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Finding the Fourth Proportional to 1,534.51, 2,299.92 and 559.45

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Solution

The fourth proportional to 1,534.51, 2,299.92 and 559.45 is: 838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.51 : 2,299.92 = 559.45 : x
  2. Step 2: Convert to fraction form
    1,534.51/2,299.92 = 559.45/x
  3. Step 3: Cross multiply
    1,534.51x = 2,299.92 × 559.45
  4. Step 4: Simplify right side
    1,534.51x = 1,286,690.24
  5. Step 5: Solve for x
    x = 1,286,690.24/1,534.51
  6. Step 6: Final answer
    x = 838.50

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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.