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Finding the Fourth Proportional to 572.88, 790.24 and 440

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Solution

The fourth proportional to 572.88, 790.24 and 440 is: 606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.88 : 790.24 = 440 : x
  2. Step 2: Convert to fraction form
    572.88/790.24 = 440/x
  3. Step 3: Cross multiply
    572.88x = 790.24 × 440
  4. Step 4: Simplify right side
    572.88x = 347,705.60
  5. Step 5: Solve for x
    x = 347,705.60/572.88
  6. Step 6: Final answer
    x = 606.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.