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Finding the Fourth Proportional to 1,030.11, 1,545.66 and 640.01

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Solution

The fourth proportional to 1,030.11, 1,545.66 and 640.01 is: 960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.11 : 1,545.66 = 640.01 : x
  2. Step 2: Convert to fraction form
    1,030.11/1,545.66 = 640.01/x
  3. Step 3: Cross multiply
    1,030.11x = 1,545.66 × 640.01
  4. Step 4: Simplify right side
    1,030.11x = 989,230.13
  5. Step 5: Solve for x
    x = 989,230.13/1,030.11
  6. Step 6: Final answer
    x = 960.32

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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.