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Finding the Fourth Proportional to 675.30, 930.75 and 509.22

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Solution

The fourth proportional to 675.30, 930.75 and 509.22 is: 701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.30 : 930.75 = 509.22 : x
  2. Step 2: Convert to fraction form
    675.30/930.75 = 509.22/x
  3. Step 3: Cross multiply
    675.30x = 930.75 × 509.22
  4. Step 4: Simplify right side
    675.30x = 473,956.52
  5. Step 5: Solve for x
    x = 473,956.52/675.30
  6. Step 6: Final answer
    x = 701.85

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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.