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Finding the Fourth Proportional to 573.89, 858.78 and 497.12

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Solution

The fourth proportional to 573.89, 858.78 and 497.12 is: 743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.89 : 858.78 = 497.12 : x
  2. Step 2: Convert to fraction form
    573.89/858.78 = 497.12/x
  3. Step 3: Cross multiply
    573.89x = 858.78 × 497.12
  4. Step 4: Simplify right side
    573.89x = 426,916.71
  5. Step 5: Solve for x
    x = 426,916.71/573.89
  6. Step 6: Final answer
    x = 743.90

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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.