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Finding the Fourth Proportional to 824, 1,136.72 and 509.36

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Solution

The fourth proportional to 824, 1,136.72 and 509.36 is: 702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    824 : 1,136.72 = 509.36 : x
  2. Step 2: Convert to fraction form
    824/1,136.72 = 509.36/x
  3. Step 3: Cross multiply
    824x = 1,136.72 × 509.36
  4. Step 4: Simplify right side
    824x = 578,999.70
  5. Step 5: Solve for x
    x = 578,999.70/824
  6. Step 6: Final answer
    x = 702.67

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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.