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Finding the Fourth Proportional to 873.79, 1,206.23 and 621.88

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Solution

The fourth proportional to 873.79, 1,206.23 and 621.88 is: 858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.79 : 1,206.23 = 621.88 : x
  2. Step 2: Convert to fraction form
    873.79/1,206.23 = 621.88/x
  3. Step 3: Cross multiply
    873.79x = 1,206.23 × 621.88
  4. Step 4: Simplify right side
    873.79x = 750,127.20
  5. Step 5: Solve for x
    x = 750,127.20/873.79
  6. Step 6: Final answer
    x = 858.48

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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.