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Finding the Fourth Proportional to 837.69, 1,155.93 and 558.24

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Solution

The fourth proportional to 837.69, 1,155.93 and 558.24 is: 770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.69 : 1,155.93 = 558.24 : x
  2. Step 2: Convert to fraction form
    837.69/1,155.93 = 558.24/x
  3. Step 3: Cross multiply
    837.69x = 1,155.93 × 558.24
  4. Step 4: Simplify right side
    837.69x = 645,286.36
  5. Step 5: Solve for x
    x = 645,286.36/837.69
  6. Step 6: Final answer
    x = 770.32

Related Problems

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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.