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Finding the Fourth Proportional to 652.34, 899.78 and 403.40

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Solution

The fourth proportional to 652.34, 899.78 and 403.40 is: 556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 899.78 = 403.40 : x
  2. Step 2: Convert to fraction form
    652.34/899.78 = 403.40/x
  3. Step 3: Cross multiply
    652.34x = 899.78 × 403.40
  4. Step 4: Simplify right side
    652.34x = 362,971.25
  5. Step 5: Solve for x
    x = 362,971.25/652.34
  6. Step 6: Final answer
    x = 556.41

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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.