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Finding the Fourth Proportional to 1,435.53, 2,151.64 and 785.13

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Solution

The fourth proportional to 1,435.53, 2,151.64 and 785.13 is: 1,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.53 : 2,151.64 = 785.13 : x
  2. Step 2: Convert to fraction form
    1,435.53/2,151.64 = 785.13/x
  3. Step 3: Cross multiply
    1,435.53x = 2,151.64 × 785.13
  4. Step 4: Simplify right side
    1,435.53x = 1,689,317.11
  5. Step 5: Solve for x
    x = 1,689,317.11/1,435.53
  6. Step 6: Final answer
    x = 1,176.79

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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.