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Finding the Fourth Proportional to 853.74, 1,278.15 and 526.90

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Solution

The fourth proportional to 853.74, 1,278.15 and 526.90 is: 788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,278.15 = 526.90 : x
  2. Step 2: Convert to fraction form
    853.74/1,278.15 = 526.90/x
  3. Step 3: Cross multiply
    853.74x = 1,278.15 × 526.90
  4. Step 4: Simplify right side
    853.74x = 673,457.24
  5. Step 5: Solve for x
    x = 673,457.24/853.74
  6. Step 6: Final answer
    x = 788.84

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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.