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Finding the Fourth Proportional to 711.36, 981.84 and 512.76

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Solution

The fourth proportional to 711.36, 981.84 and 512.76 is: 707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 981.84 = 512.76 : x
  2. Step 2: Convert to fraction form
    711.36/981.84 = 512.76/x
  3. Step 3: Cross multiply
    711.36x = 981.84 × 512.76
  4. Step 4: Simplify right side
    711.36x = 503,448.28
  5. Step 5: Solve for x
    x = 503,448.28/711.36
  6. Step 6: Final answer
    x = 707.73

Related Problems

Find fourth proportional to 355.68, 490.92 and 256.38
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.