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Finding the Fourth Proportional to 999.60, 1,492.86 and 870

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Solution

The fourth proportional to 999.60, 1,492.86 and 870 is: 1,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.60 : 1,492.86 = 870 : x
  2. Step 2: Convert to fraction form
    999.60/1,492.86 = 870/x
  3. Step 3: Cross multiply
    999.60x = 1,492.86 × 870
  4. Step 4: Simplify right side
    999.60x = 1,298,788.20
  5. Step 5: Solve for x
    x = 1,298,788.20/999.60
  6. Step 6: Final answer
    x = 1,299.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.