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Finding the Fourth Proportional to 487.86, 728.01 and 435.94

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Solution

The fourth proportional to 487.86, 728.01 and 435.94 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.86 : 728.01 = 435.94 : x
  2. Step 2: Convert to fraction form
    487.86/728.01 = 435.94/x
  3. Step 3: Cross multiply
    487.86x = 728.01 × 435.94
  4. Step 4: Simplify right side
    487.86x = 317,366.86
  5. Step 5: Solve for x
    x = 317,366.86/487.86
  6. Step 6: Final answer
    x = 650.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.