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Finding the Fourth Proportional to 929.60, 1,388.46 and 841.62

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Solution

The fourth proportional to 929.60, 1,388.46 and 841.62 is: 1,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,388.46 = 841.62 : x
  2. Step 2: Convert to fraction form
    929.60/1,388.46 = 841.62/x
  3. Step 3: Cross multiply
    929.60x = 1,388.46 × 841.62
  4. Step 4: Simplify right side
    929.60x = 1,168,555.71
  5. Step 5: Solve for x
    x = 1,168,555.71/929.60
  6. Step 6: Final answer
    x = 1,257.06

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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.