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Finding the Fourth Proportional to 1,533.69, 2,298.48 and 558.87

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Solution

The fourth proportional to 1,533.69, 2,298.48 and 558.87 is: 837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.69 : 2,298.48 = 558.87 : x
  2. Step 2: Convert to fraction form
    1,533.69/2,298.48 = 558.87/x
  3. Step 3: Cross multiply
    1,533.69x = 2,298.48 × 558.87
  4. Step 4: Simplify right side
    1,533.69x = 1,284,551.52
  5. Step 5: Solve for x
    x = 1,284,551.52/1,533.69
  6. Step 6: Final answer
    x = 837.56

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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.