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Finding the Fourth Proportional to 831.69, 1,146.93 and 665.45

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Solution

The fourth proportional to 831.69, 1,146.93 and 665.45 is: 917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.69 : 1,146.93 = 665.45 : x
  2. Step 2: Convert to fraction form
    831.69/1,146.93 = 665.45/x
  3. Step 3: Cross multiply
    831.69x = 1,146.93 × 665.45
  4. Step 4: Simplify right side
    831.69x = 763,218.83
  5. Step 5: Solve for x
    x = 763,218.83/831.69
  6. Step 6: Final answer
    x = 917.67

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.