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Finding the Fourth Proportional to 900.63, 1,242.80 and 507.75

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Solution

The fourth proportional to 900.63, 1,242.80 and 507.75 is: 700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.63 : 1,242.80 = 507.75 : x
  2. Step 2: Convert to fraction form
    900.63/1,242.80 = 507.75/x
  3. Step 3: Cross multiply
    900.63x = 1,242.80 × 507.75
  4. Step 4: Simplify right side
    900.63x = 631,029.16
  5. Step 5: Solve for x
    x = 631,029.16/900.63
  6. Step 6: Final answer
    x = 700.65

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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.