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Finding the Fourth Proportional to 873.39, 1,205.58 and 578.73

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Solution

The fourth proportional to 873.39, 1,205.58 and 578.73 is: 798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.39 : 1,205.58 = 578.73 : x
  2. Step 2: Convert to fraction form
    873.39/1,205.58 = 578.73/x
  3. Step 3: Cross multiply
    873.39x = 1,205.58 × 578.73
  4. Step 4: Simplify right side
    873.39x = 697,705.31
  5. Step 5: Solve for x
    x = 697,705.31/873.39
  6. Step 6: Final answer
    x = 798.85

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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.