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Finding the Fourth Proportional to 830.40, 1,245.60 and 752.10

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Solution

The fourth proportional to 830.40, 1,245.60 and 752.10 is: 1,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.40 : 1,245.60 = 752.10 : x
  2. Step 2: Convert to fraction form
    830.40/1,245.60 = 752.10/x
  3. Step 3: Cross multiply
    830.40x = 1,245.60 × 752.10
  4. Step 4: Simplify right side
    830.40x = 936,815.76
  5. Step 5: Solve for x
    x = 936,815.76/830.40
  6. Step 6: Final answer
    x = 1,128.15

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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.