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Finding the Fourth Proportional to 572.96, 790.96 and 407.52

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Solution

The fourth proportional to 572.96, 790.96 and 407.52 is: 562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 790.96 = 407.52 : x
  2. Step 2: Convert to fraction form
    572.96/790.96 = 407.52/x
  3. Step 3: Cross multiply
    572.96x = 790.96 × 407.52
  4. Step 4: Simplify right side
    572.96x = 322,332.02
  5. Step 5: Solve for x
    x = 322,332.02/572.96
  6. Step 6: Final answer
    x = 562.57

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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.