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Finding the Fourth Proportional to 823.46, 1,136.48 and 508.66

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Solution

The fourth proportional to 823.46, 1,136.48 and 508.66 is: 702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.46 : 1,136.48 = 508.66 : x
  2. Step 2: Convert to fraction form
    823.46/1,136.48 = 508.66/x
  3. Step 3: Cross multiply
    823.46x = 1,136.48 × 508.66
  4. Step 4: Simplify right side
    823.46x = 578,076.53
  5. Step 5: Solve for x
    x = 578,076.53/823.46
  6. Step 6: Final answer
    x = 702.01

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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.