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Finding the Fourth Proportional to 567.87, 852.25 and 458.45

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Solution

The fourth proportional to 567.87, 852.25 and 458.45 is: 688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 852.25 = 458.45 : x
  2. Step 2: Convert to fraction form
    567.87/852.25 = 458.45/x
  3. Step 3: Cross multiply
    567.87x = 852.25 × 458.45
  4. Step 4: Simplify right side
    567.87x = 390,714.01
  5. Step 5: Solve for x
    x = 390,714.01/567.87
  6. Step 6: Final answer
    x = 688.03

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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.