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Finding the Fourth Proportional to 674.78, 931.46 and 509.02

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Solution

The fourth proportional to 674.78, 931.46 and 509.02 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.78 : 931.46 = 509.02 : x
  2. Step 2: Convert to fraction form
    674.78/931.46 = 509.02/x
  3. Step 3: Cross multiply
    674.78x = 931.46 × 509.02
  4. Step 4: Simplify right side
    674.78x = 474,131.77
  5. Step 5: Solve for x
    x = 474,131.77/674.78
  6. Step 6: Final answer
    x = 702.65

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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.