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Finding the Fourth Proportional to 900.05, 1,242.05 and 507.08

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Solution

The fourth proportional to 900.05, 1,242.05 and 507.08 is: 699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.05 : 1,242.05 = 507.08 : x
  2. Step 2: Convert to fraction form
    900.05/1,242.05 = 507.08/x
  3. Step 3: Cross multiply
    900.05x = 1,242.05 × 507.08
  4. Step 4: Simplify right side
    900.05x = 629,812.50
  5. Step 5: Solve for x
    x = 629,812.50/900.05
  6. Step 6: Final answer
    x = 699.75

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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.