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Finding the Fourth Proportional to 652.19, 900.15 and 403.62

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Solution

The fourth proportional to 652.19, 900.15 and 403.62 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 900.15 = 403.62 : x
  2. Step 2: Convert to fraction form
    652.19/900.15 = 403.62/x
  3. Step 3: Cross multiply
    652.19x = 900.15 × 403.62
  4. Step 4: Simplify right side
    652.19x = 363,322.95
  5. Step 5: Solve for x
    x = 363,322.95/652.19
  6. Step 6: Final answer
    x = 557.08

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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.