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Finding the Fourth Proportional to 947.51, 1,420.66 and 399.55

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Solution

The fourth proportional to 947.51, 1,420.66 and 399.55 is: 599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.51 : 1,420.66 = 399.55 : x
  2. Step 2: Convert to fraction form
    947.51/1,420.66 = 399.55/x
  3. Step 3: Cross multiply
    947.51x = 1,420.66 × 399.55
  4. Step 4: Simplify right side
    947.51x = 567,621.65
  5. Step 5: Solve for x
    x = 567,621.65/947.51
  6. Step 6: Final answer
    x = 599.07

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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.