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Finding the Fourth Proportional to 873.47, 1,205.70 and 578.83

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Solution

The fourth proportional to 873.47, 1,205.70 and 578.83 is: 798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.47 : 1,205.70 = 578.83 : x
  2. Step 2: Convert to fraction form
    873.47/1,205.70 = 578.83/x
  3. Step 3: Cross multiply
    873.47x = 1,205.70 × 578.83
  4. Step 4: Simplify right side
    873.47x = 697,895.33
  5. Step 5: Solve for x
    x = 697,895.33/873.47
  6. Step 6: Final answer
    x = 798.99

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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.