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Finding the Fourth Proportional to 1,285.00, 1,924.93 and 590.71

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Solution

The fourth proportional to 1,285.00, 1,924.93 and 590.71 is: 884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.00 : 1,924.93 = 590.71 : x
  2. Step 2: Convert to fraction form
    1,285.00/1,924.93 = 590.71/x
  3. Step 3: Cross multiply
    1,285.00x = 1,924.93 × 590.71
  4. Step 4: Simplify right side
    1,285.00x = 1,137,080.56
  5. Step 5: Solve for x
    x = 1,137,080.56/1,285.00
  6. Step 6: Final answer
    x = 884.89

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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.