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Finding the Fourth Proportional to 1,435.59, 2,155.01 and 570.51

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Solution

The fourth proportional to 1,435.59, 2,155.01 and 570.51 is: 856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.59 : 2,155.01 = 570.51 : x
  2. Step 2: Convert to fraction form
    1,435.59/2,155.01 = 570.51/x
  3. Step 3: Cross multiply
    1,435.59x = 2,155.01 × 570.51
  4. Step 4: Simplify right side
    1,435.59x = 1,229,451.90
  5. Step 5: Solve for x
    x = 1,229,451.90/1,435.59
  6. Step 6: Final answer
    x = 856.41

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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.