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Finding the Fourth Proportional to 1,561.69, 2,155.08 and 898.51

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Solution

The fourth proportional to 1,561.69, 2,155.08 and 898.51 is: 1,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.69 : 2,155.08 = 898.51 : x
  2. Step 2: Convert to fraction form
    1,561.69/2,155.08 = 898.51/x
  3. Step 3: Cross multiply
    1,561.69x = 2,155.08 × 898.51
  4. Step 4: Simplify right side
    1,561.69x = 1,936,360.93
  5. Step 5: Solve for x
    x = 1,936,360.93/1,561.69
  6. Step 6: Final answer
    x = 1,239.91

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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.