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Finding the Fourth Proportional to 873.82, 1,203.84 and 652.36

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Solution

The fourth proportional to 873.82, 1,203.84 and 652.36 is: 898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.82 : 1,203.84 = 652.36 : x
  2. Step 2: Convert to fraction form
    873.82/1,203.84 = 652.36/x
  3. Step 3: Cross multiply
    873.82x = 1,203.84 × 652.36
  4. Step 4: Simplify right side
    873.82x = 785,337.06
  5. Step 5: Solve for x
    x = 785,337.06/873.82
  6. Step 6: Final answer
    x = 898.74

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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.