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Finding the Fourth Proportional to 1,700.62, 2,545.53 and 919.51

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Solution

The fourth proportional to 1,700.62, 2,545.53 and 919.51 is: 1,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.62 : 2,545.53 = 919.51 : x
  2. Step 2: Convert to fraction form
    1,700.62/2,545.53 = 919.51/x
  3. Step 3: Cross multiply
    1,700.62x = 2,545.53 × 919.51
  4. Step 4: Simplify right side
    1,700.62x = 2,340,640.29
  5. Step 5: Solve for x
    x = 2,340,640.29/1,700.62
  6. Step 6: Final answer
    x = 1,376.35

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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.