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Finding the Fourth Proportional to 849.12, 1,262.88 and 846.24

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Solution

The fourth proportional to 849.12, 1,262.88 and 846.24 is: 1,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.12 : 1,262.88 = 846.24 : x
  2. Step 2: Convert to fraction form
    849.12/1,262.88 = 846.24/x
  3. Step 3: Cross multiply
    849.12x = 1,262.88 × 846.24
  4. Step 4: Simplify right side
    849.12x = 1,068,699.57
  5. Step 5: Solve for x
    x = 1,068,699.57/849.12
  6. Step 6: Final answer
    x = 1,258.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.