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Finding the Fourth Proportional to 873.67, 1,205.69 and 500.71

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Solution

The fourth proportional to 873.67, 1,205.69 and 500.71 is: 690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.67 : 1,205.69 = 500.71 : x
  2. Step 2: Convert to fraction form
    873.67/1,205.69 = 500.71/x
  3. Step 3: Cross multiply
    873.67x = 1,205.69 × 500.71
  4. Step 4: Simplify right side
    873.67x = 603,692.51
  5. Step 5: Solve for x
    x = 603,692.51/873.67
  6. Step 6: Final answer
    x = 690.99

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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.