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Finding the Fourth Proportional to 572.04, 858.42 and 312.21

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Solution

The fourth proportional to 572.04, 858.42 and 312.21 is: 468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 858.42 = 312.21 : x
  2. Step 2: Convert to fraction form
    572.04/858.42 = 312.21/x
  3. Step 3: Cross multiply
    572.04x = 858.42 × 312.21
  4. Step 4: Simplify right side
    572.04x = 268,007.31
  5. Step 5: Solve for x
    x = 268,007.31/572.04
  6. Step 6: Final answer
    x = 468.51

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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.