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Finding the Fourth Proportional to 1,164.38, 1,746.36 and 384.39

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Solution

The fourth proportional to 1,164.38, 1,746.36 and 384.39 is: 576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 1,746.36 = 384.39 : x
  2. Step 2: Convert to fraction form
    1,164.38/1,746.36 = 384.39/x
  3. Step 3: Cross multiply
    1,164.38x = 1,746.36 × 384.39
  4. Step 4: Simplify right side
    1,164.38x = 671,274.59
  5. Step 5: Solve for x
    x = 671,274.59/1,164.38
  6. Step 6: Final answer
    x = 576.51

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1.5x scale

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.