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Finding the Fourth Proportional to 823.90, 1,136.12 and 706.28

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Solution

The fourth proportional to 823.90, 1,136.12 and 706.28 is: 973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.90 : 1,136.12 = 706.28 : x
  2. Step 2: Convert to fraction form
    823.90/1,136.12 = 706.28/x
  3. Step 3: Cross multiply
    823.90x = 1,136.12 × 706.28
  4. Step 4: Simplify right side
    823.90x = 802,417.76
  5. Step 5: Solve for x
    x = 802,417.76/823.90
  6. Step 6: Final answer
    x = 973.93

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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.