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Finding the Fourth Proportional to 675.66, 930.04 and 509.82

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Solution

The fourth proportional to 675.66, 930.04 and 509.82 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.66 : 930.04 = 509.82 : x
  2. Step 2: Convert to fraction form
    675.66/930.04 = 509.82/x
  3. Step 3: Cross multiply
    675.66x = 930.04 × 509.82
  4. Step 4: Simplify right side
    675.66x = 474,152.99
  5. Step 5: Solve for x
    x = 474,152.99/675.66
  6. Step 6: Final answer
    x = 701.76

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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.