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Finding the Fourth Proportional to 1,154.46, 1,730.32 and 666.50

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Solution

The fourth proportional to 1,154.46, 1,730.32 and 666.50 is: 998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.46 : 1,730.32 = 666.50 : x
  2. Step 2: Convert to fraction form
    1,154.46/1,730.32 = 666.50/x
  3. Step 3: Cross multiply
    1,154.46x = 1,730.32 × 666.50
  4. Step 4: Simplify right side
    1,154.46x = 1,153,258.28
  5. Step 5: Solve for x
    x = 1,153,258.28/1,154.46
  6. Step 6: Final answer
    x = 998.96

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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.