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Finding the Fourth Proportional to 836.77, 1,152.16 and 743.35

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Solution

The fourth proportional to 836.77, 1,152.16 and 743.35 is: 1,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.77 : 1,152.16 = 743.35 : x
  2. Step 2: Convert to fraction form
    836.77/1,152.16 = 743.35/x
  3. Step 3: Cross multiply
    836.77x = 1,152.16 × 743.35
  4. Step 4: Simplify right side
    836.77x = 856,458.14
  5. Step 5: Solve for x
    x = 856,458.14/836.77
  6. Step 6: Final answer
    x = 1,023.53

Related Problems

Find fourth proportional to 418.38, 576.08 and 371.68
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.