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Finding the Fourth Proportional to 900.56, 1,242.87 and 507.62

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Solution

The fourth proportional to 900.56, 1,242.87 and 507.62 is: 700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.56 : 1,242.87 = 507.62 : x
  2. Step 2: Convert to fraction form
    900.56/1,242.87 = 507.62/x
  3. Step 3: Cross multiply
    900.56x = 1,242.87 × 507.62
  4. Step 4: Simplify right side
    900.56x = 630,905.67
  5. Step 5: Solve for x
    x = 630,905.67/900.56
  6. Step 6: Final answer
    x = 700.57

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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.