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Finding the Fourth Proportional to 830.81, 1,146.35 and 520.13

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Solution

The fourth proportional to 830.81, 1,146.35 and 520.13 is: 717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.81 : 1,146.35 = 520.13 : x
  2. Step 2: Convert to fraction form
    830.81/1,146.35 = 520.13/x
  3. Step 3: Cross multiply
    830.81x = 1,146.35 × 520.13
  4. Step 4: Simplify right side
    830.81x = 596,246.59
  5. Step 5: Solve for x
    x = 596,246.59/830.81
  6. Step 6: Final answer
    x = 717.67

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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.