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Finding the Fourth Proportional to 1,033.68, 1,557.62 and 855.08

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Solution

The fourth proportional to 1,033.68, 1,557.62 and 855.08 is: 1,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.68 : 1,557.62 = 855.08 : x
  2. Step 2: Convert to fraction form
    1,033.68/1,557.62 = 855.08/x
  3. Step 3: Cross multiply
    1,033.68x = 1,557.62 × 855.08
  4. Step 4: Simplify right side
    1,033.68x = 1,331,889.71
  5. Step 5: Solve for x
    x = 1,331,889.71/1,033.68
  6. Step 6: Final answer
    x = 1,288.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.