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Finding the Fourth Proportional to 831.83, 1,148.16 and 500.19

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Solution

The fourth proportional to 831.83, 1,148.16 and 500.19 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.83 : 1,148.16 = 500.19 : x
  2. Step 2: Convert to fraction form
    831.83/1,148.16 = 500.19/x
  3. Step 3: Cross multiply
    831.83x = 1,148.16 × 500.19
  4. Step 4: Simplify right side
    831.83x = 574,298.15
  5. Step 5: Solve for x
    x = 574,298.15/831.83
  6. Step 6: Final answer
    x = 690.41

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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.