Home / 1,283.61-1,923.10-590.86

Finding the Fourth Proportional to 1,283.61, 1,923.10 and 590.86

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Solution

The fourth proportional to 1,283.61, 1,923.10 and 590.86 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.61 : 1,923.10 = 590.86 : x
  2. Step 2: Convert to fraction form
    1,283.61/1,923.10 = 590.86/x
  3. Step 3: Cross multiply
    1,283.61x = 1,923.10 × 590.86
  4. Step 4: Simplify right side
    1,283.61x = 1,136,282.87
  5. Step 5: Solve for x
    x = 1,136,282.87/1,283.61
  6. Step 6: Final answer
    x = 885.22

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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.