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Finding the Fourth Proportional to 831.77, 1,245.42 and 465.51

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Solution

The fourth proportional to 831.77, 1,245.42 and 465.51 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.77 : 1,245.42 = 465.51 : x
  2. Step 2: Convert to fraction form
    831.77/1,245.42 = 465.51/x
  3. Step 3: Cross multiply
    831.77x = 1,245.42 × 465.51
  4. Step 4: Simplify right side
    831.77x = 579,753.14
  5. Step 5: Solve for x
    x = 579,753.14/831.77
  6. Step 6: Final answer
    x = 697.02

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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.