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Finding the Fourth Proportional to 1,164.45, 1,746.32 and 384.28

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Solution

The fourth proportional to 1,164.45, 1,746.32 and 384.28 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.45 : 1,746.32 = 384.28 : x
  2. Step 2: Convert to fraction form
    1,164.45/1,746.32 = 384.28/x
  3. Step 3: Cross multiply
    1,164.45x = 1,746.32 × 384.28
  4. Step 4: Simplify right side
    1,164.45x = 671,069.56
  5. Step 5: Solve for x
    x = 671,069.56/1,164.45
  6. Step 6: Final answer
    x = 576.30

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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.