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Finding the Fourth Proportional to 572.55, 858.54 and 280.08

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Solution

The fourth proportional to 572.55, 858.54 and 280.08 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.55 : 858.54 = 280.08 : x
  2. Step 2: Convert to fraction form
    572.55/858.54 = 280.08/x
  3. Step 3: Cross multiply
    572.55x = 858.54 × 280.08
  4. Step 4: Simplify right side
    572.55x = 240,459.88
  5. Step 5: Solve for x
    x = 240,459.88/572.55
  6. Step 6: Final answer
    x = 419.98

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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.