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Finding the Fourth Proportional to 816.76, 1,126.53 and 518.09

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Solution

The fourth proportional to 816.76, 1,126.53 and 518.09 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.76 : 1,126.53 = 518.09 : x
  2. Step 2: Convert to fraction form
    816.76/1,126.53 = 518.09/x
  3. Step 3: Cross multiply
    816.76x = 1,126.53 × 518.09
  4. Step 4: Simplify right side
    816.76x = 583,646.74
  5. Step 5: Solve for x
    x = 583,646.74/816.76
  6. Step 6: Final answer
    x = 714.59

Related Problems

Find fourth proportional to 408.38, 563.27 and 259.05
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.