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Finding the Fourth Proportional to 612.63, 920.16 and 573.75

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Solution

The fourth proportional to 612.63, 920.16 and 573.75 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 920.16 = 573.75 : x
  2. Step 2: Convert to fraction form
    612.63/920.16 = 573.75/x
  3. Step 3: Cross multiply
    612.63x = 920.16 × 573.75
  4. Step 4: Simplify right side
    612.63x = 527,941.80
  5. Step 5: Solve for x
    x = 527,941.80/612.63
  6. Step 6: Final answer
    x = 861.76

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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.