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Finding the Fourth Proportional to 1,164.46, 1,746.78 and 471.10

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Solution

The fourth proportional to 1,164.46, 1,746.78 and 471.10 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.46 : 1,746.78 = 471.10 : x
  2. Step 2: Convert to fraction form
    1,164.46/1,746.78 = 471.10/x
  3. Step 3: Cross multiply
    1,164.46x = 1,746.78 × 471.10
  4. Step 4: Simplify right side
    1,164.46x = 822,908.06
  5. Step 5: Solve for x
    x = 822,908.06/1,164.46
  6. Step 6: Final answer
    x = 706.69

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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.