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Finding the Fourth Proportional to 847.79, 1,271.56 and 328.03

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Solution

The fourth proportional to 847.79, 1,271.56 and 328.03 is: 492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.79 : 1,271.56 = 328.03 : x
  2. Step 2: Convert to fraction form
    847.79/1,271.56 = 328.03/x
  3. Step 3: Cross multiply
    847.79x = 1,271.56 × 328.03
  4. Step 4: Simplify right side
    847.79x = 417,113.01
  5. Step 5: Solve for x
    x = 417,113.01/847.79
  6. Step 6: Final answer
    x = 492.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.