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Finding the Fourth Proportional to 607.71, 838.80 and 509.31

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Solution

The fourth proportional to 607.71, 838.80 and 509.31 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.71 : 838.80 = 509.31 : x
  2. Step 2: Convert to fraction form
    607.71/838.80 = 509.31/x
  3. Step 3: Cross multiply
    607.71x = 838.80 × 509.31
  4. Step 4: Simplify right side
    607.71x = 427,209.23
  5. Step 5: Solve for x
    x = 427,209.23/607.71
  6. Step 6: Final answer
    x = 702.98

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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.