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Finding the Fourth Proportional to 1,590.67, 2,384.31 and 666.01

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Solution

The fourth proportional to 1,590.67, 2,384.31 and 666.01 is: 998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.67 : 2,384.31 = 666.01 : x
  2. Step 2: Convert to fraction form
    1,590.67/2,384.31 = 666.01/x
  3. Step 3: Cross multiply
    1,590.67x = 2,384.31 × 666.01
  4. Step 4: Simplify right side
    1,590.67x = 1,587,974.30
  5. Step 5: Solve for x
    x = 1,587,974.30/1,590.67
  6. Step 6: Final answer
    x = 998.31

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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.