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Finding the Fourth Proportional to 630.58, 870.75 and 609.92

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Solution

The fourth proportional to 630.58, 870.75 and 609.92 is: 842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.58 : 870.75 = 609.92 : x
  2. Step 2: Convert to fraction form
    630.58/870.75 = 609.92/x
  3. Step 3: Cross multiply
    630.58x = 870.75 × 609.92
  4. Step 4: Simplify right side
    630.58x = 531,090.02
  5. Step 5: Solve for x
    x = 531,090.02/630.58
  6. Step 6: Final answer
    x = 842.23

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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.