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Finding the Fourth Proportional to 847.52, 1,271.36 and 385.52

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Solution

The fourth proportional to 847.52, 1,271.36 and 385.52 is: 578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.52 : 1,271.36 = 385.52 : x
  2. Step 2: Convert to fraction form
    847.52/1,271.36 = 385.52/x
  3. Step 3: Cross multiply
    847.52x = 1,271.36 × 385.52
  4. Step 4: Simplify right side
    847.52x = 490,134.71
  5. Step 5: Solve for x
    x = 490,134.71/847.52
  6. Step 6: Final answer
    x = 578.32

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1.5x scale

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.