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Finding the Fourth Proportional to 649.86, 973.52 and 390.08

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Solution

The fourth proportional to 649.86, 973.52 and 390.08 is: 584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 973.52 = 390.08 : x
  2. Step 2: Convert to fraction form
    649.86/973.52 = 390.08/x
  3. Step 3: Cross multiply
    649.86x = 973.52 × 390.08
  4. Step 4: Simplify right side
    649.86x = 379,750.68
  5. Step 5: Solve for x
    x = 379,750.68/649.86
  6. Step 6: Final answer
    x = 584.36

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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.