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Finding the Fourth Proportional to 831.02, 1,245.87 and 283.05

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Solution

The fourth proportional to 831.02, 1,245.87 and 283.05 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.02 : 1,245.87 = 283.05 : x
  2. Step 2: Convert to fraction form
    831.02/1,245.87 = 283.05/x
  3. Step 3: Cross multiply
    831.02x = 1,245.87 × 283.05
  4. Step 4: Simplify right side
    831.02x = 352,643.50
  5. Step 5: Solve for x
    x = 352,643.50/831.02
  6. Step 6: Final answer
    x = 424.35

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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.