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Finding the Fourth Proportional to 649.32, 973.35 and 284.16

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Solution

The fourth proportional to 649.32, 973.35 and 284.16 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 973.35 = 284.16 : x
  2. Step 2: Convert to fraction form
    649.32/973.35 = 284.16/x
  3. Step 3: Cross multiply
    649.32x = 973.35 × 284.16
  4. Step 4: Simplify right side
    649.32x = 276,587.14
  5. Step 5: Solve for x
    x = 276,587.14/649.32
  6. Step 6: Final answer
    x = 425.96

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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.