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Finding the Fourth Proportional to 786.77, 1,085.84 and 455.30

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Solution

The fourth proportional to 786.77, 1,085.84 and 455.30 is: 628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.77 : 1,085.84 = 455.30 : x
  2. Step 2: Convert to fraction form
    786.77/1,085.84 = 455.30/x
  3. Step 3: Cross multiply
    786.77x = 1,085.84 × 455.30
  4. Step 4: Simplify right side
    786.77x = 494,378.66
  5. Step 5: Solve for x
    x = 494,378.66/786.77
  6. Step 6: Final answer
    x = 628.37

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Find fourth proportional to 393.38, 542.92 and 227.65
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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.