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Finding the Fourth Proportional to 572.42, 858.40 and 312.64

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Solution

The fourth proportional to 572.42, 858.40 and 312.64 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 858.40 = 312.64 : x
  2. Step 2: Convert to fraction form
    572.42/858.40 = 312.64/x
  3. Step 3: Cross multiply
    572.42x = 858.40 × 312.64
  4. Step 4: Simplify right side
    572.42x = 268,370.18
  5. Step 5: Solve for x
    x = 268,370.18/572.42
  6. Step 6: Final answer
    x = 468.83

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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.