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Finding the Fourth Proportional to 709.55, 977.15 and 512.75

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Solution

The fourth proportional to 709.55, 977.15 and 512.75 is: 706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.55 : 977.15 = 512.75 : x
  2. Step 2: Convert to fraction form
    709.55/977.15 = 512.75/x
  3. Step 3: Cross multiply
    709.55x = 977.15 × 512.75
  4. Step 4: Simplify right side
    709.55x = 501,033.66
  5. Step 5: Solve for x
    x = 501,033.66/709.55
  6. Step 6: Final answer
    x = 706.13

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.