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Finding the Fourth Proportional to 1,785, 2,463.35 and 999.21

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Solution

The fourth proportional to 1,785, 2,463.35 and 999.21 is: 1,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785 : 2,463.35 = 999.21 : x
  2. Step 2: Convert to fraction form
    1,785/2,463.35 = 999.21/x
  3. Step 3: Cross multiply
    1,785x = 2,463.35 × 999.21
  4. Step 4: Simplify right side
    1,785x = 2,461,398.96
  5. Step 5: Solve for x
    x = 2,461,398.96/1,785
  6. Step 6: Final answer
    x = 1,378.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.