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Finding the Fourth Proportional to 780.60, 1,170.90 and 348.12

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Solution

The fourth proportional to 780.60, 1,170.90 and 348.12 is: 522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.60 : 1,170.90 = 348.12 : x
  2. Step 2: Convert to fraction form
    780.60/1,170.90 = 348.12/x
  3. Step 3: Cross multiply
    780.60x = 1,170.90 × 348.12
  4. Step 4: Simplify right side
    780.60x = 407,613.71
  5. Step 5: Solve for x
    x = 407,613.71/780.60
  6. Step 6: Final answer
    x = 522.18

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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.