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Finding the Fourth Proportional to 786.71, 1,085.88 and 521.19

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Solution

The fourth proportional to 786.71, 1,085.88 and 521.19 is: 719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.71 : 1,085.88 = 521.19 : x
  2. Step 2: Convert to fraction form
    786.71/1,085.88 = 521.19/x
  3. Step 3: Cross multiply
    786.71x = 1,085.88 × 521.19
  4. Step 4: Simplify right side
    786.71x = 565,949.80
  5. Step 5: Solve for x
    x = 565,949.80/786.71
  6. Step 6: Final answer
    x = 719.39

Related Problems

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Half scale
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Double scale
Find fourth proportional to 787.71, 1,087.26 and 522.19
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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.