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Finding the Fourth Proportional to 847.01, 1,271.19 and 457.45

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Solution

The fourth proportional to 847.01, 1,271.19 and 457.45 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.01 : 1,271.19 = 457.45 : x
  2. Step 2: Convert to fraction form
    847.01/1,271.19 = 457.45/x
  3. Step 3: Cross multiply
    847.01x = 1,271.19 × 457.45
  4. Step 4: Simplify right side
    847.01x = 581,504.40
  5. Step 5: Solve for x
    x = 581,504.40/847.01
  6. Step 6: Final answer
    x = 686.54

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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.