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Finding the Fourth Proportional to 652.32, 899.94 and 403.16

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Solution

The fourth proportional to 652.32, 899.94 and 403.16 is: 556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 899.94 = 403.16 : x
  2. Step 2: Convert to fraction form
    652.32/899.94 = 403.16/x
  3. Step 3: Cross multiply
    652.32x = 899.94 × 403.16
  4. Step 4: Simplify right side
    652.32x = 362,819.81
  5. Step 5: Solve for x
    x = 362,819.81/652.32
  6. Step 6: Final answer
    x = 556.20

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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.