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Finding the Fourth Proportional to 572.10, 858.42 and 283.50

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Solution

The fourth proportional to 572.10, 858.42 and 283.50 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.10 : 858.42 = 283.50 : x
  2. Step 2: Convert to fraction form
    572.10/858.42 = 283.50/x
  3. Step 3: Cross multiply
    572.10x = 858.42 × 283.50
  4. Step 4: Simplify right side
    572.10x = 243,362.07
  5. Step 5: Solve for x
    x = 243,362.07/572.10
  6. Step 6: Final answer
    x = 425.38

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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.