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Finding the Fourth Proportional to 652.16, 899.60 and 403.52

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Solution

The fourth proportional to 652.16, 899.60 and 403.52 is: 556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 899.60 = 403.52 : x
  2. Step 2: Convert to fraction form
    652.16/899.60 = 403.52/x
  3. Step 3: Cross multiply
    652.16x = 899.60 × 403.52
  4. Step 4: Simplify right side
    652.16x = 363,006.59
  5. Step 5: Solve for x
    x = 363,006.59/652.16
  6. Step 6: Final answer
    x = 556.62

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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.