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Finding the Fourth Proportional to 1,436.69, 2,155.05 and 571.01

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Solution

The fourth proportional to 1,436.69, 2,155.05 and 571.01 is: 856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.69 : 2,155.05 = 571.01 : x
  2. Step 2: Convert to fraction form
    1,436.69/2,155.05 = 571.01/x
  3. Step 3: Cross multiply
    1,436.69x = 2,155.05 × 571.01
  4. Step 4: Simplify right side
    1,436.69x = 1,230,541.47
  5. Step 5: Solve for x
    x = 1,230,541.47/1,436.69
  6. Step 6: Final answer
    x = 856.51

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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.