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Finding the Fourth Proportional to 890.18, 1,341.94 and 830.72

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Solution

The fourth proportional to 890.18, 1,341.94 and 830.72 is: 1,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.18 : 1,341.94 = 830.72 : x
  2. Step 2: Convert to fraction form
    890.18/1,341.94 = 830.72/x
  3. Step 3: Cross multiply
    890.18x = 1,341.94 × 830.72
  4. Step 4: Simplify right side
    890.18x = 1,114,776.40
  5. Step 5: Solve for x
    x = 1,114,776.40/890.18
  6. Step 6: Final answer
    x = 1,252.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.