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Finding the Fourth Proportional to 787.69, 1,087.68 and 493.45

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Solution

The fourth proportional to 787.69, 1,087.68 and 493.45 is: 681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.69 : 1,087.68 = 493.45 : x
  2. Step 2: Convert to fraction form
    787.69/1,087.68 = 493.45/x
  3. Step 3: Cross multiply
    787.69x = 1,087.68 × 493.45
  4. Step 4: Simplify right side
    787.69x = 536,715.70
  5. Step 5: Solve for x
    x = 536,715.70/787.69
  6. Step 6: Final answer
    x = 681.38

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Half scale
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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.