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Finding the Fourth Proportional to 847.49, 1,271.03 and 436.41

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Solution

The fourth proportional to 847.49, 1,271.03 and 436.41 is: 654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.49 : 1,271.03 = 436.41 : x
  2. Step 2: Convert to fraction form
    847.49/1,271.03 = 436.41/x
  3. Step 3: Cross multiply
    847.49x = 1,271.03 × 436.41
  4. Step 4: Simplify right side
    847.49x = 554,688.02
  5. Step 5: Solve for x
    x = 554,688.02/847.49
  6. Step 6: Final answer
    x = 654.51

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Half scale
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Double scale
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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.