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Finding the Fourth Proportional to 761.58, 1,136.78 and 578.12

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Solution

The fourth proportional to 761.58, 1,136.78 and 578.12 is: 862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.58 : 1,136.78 = 578.12 : x
  2. Step 2: Convert to fraction form
    761.58/1,136.78 = 578.12/x
  3. Step 3: Cross multiply
    761.58x = 1,136.78 × 578.12
  4. Step 4: Simplify right side
    761.58x = 657,195.25
  5. Step 5: Solve for x
    x = 657,195.25/761.58
  6. Step 6: Final answer
    x = 862.94

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.