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Finding the Fourth Proportional to 854.23, 1,281.93 and 529.78

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Solution

The fourth proportional to 854.23, 1,281.93 and 529.78 is: 795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.23 : 1,281.93 = 529.78 : x
  2. Step 2: Convert to fraction form
    854.23/1,281.93 = 529.78/x
  3. Step 3: Cross multiply
    854.23x = 1,281.93 × 529.78
  4. Step 4: Simplify right side
    854.23x = 679,140.88
  5. Step 5: Solve for x
    x = 679,140.88/854.23
  6. Step 6: Final answer
    x = 795.03

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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.