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Finding the Fourth Proportional to 824.76, 1,136.43 and 627.93

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Solution

The fourth proportional to 824.76, 1,136.43 and 627.93 is: 865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.76 : 1,136.43 = 627.93 : x
  2. Step 2: Convert to fraction form
    824.76/1,136.43 = 627.93/x
  3. Step 3: Cross multiply
    824.76x = 1,136.43 × 627.93
  4. Step 4: Simplify right side
    824.76x = 713,598.49
  5. Step 5: Solve for x
    x = 713,598.49/824.76
  6. Step 6: Final answer
    x = 865.22

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Find fourth proportional to 412.38, 568.22 and 313.97
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Double scale
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1.5x scale

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.