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Finding the Fourth Proportional to 712.10, 981.75 and 512.76

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Solution

The fourth proportional to 712.10, 981.75 and 512.76 is: 706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.10 : 981.75 = 512.76 : x
  2. Step 2: Convert to fraction form
    712.10/981.75 = 512.76/x
  3. Step 3: Cross multiply
    712.10x = 981.75 × 512.76
  4. Step 4: Simplify right side
    712.10x = 503,402.13
  5. Step 5: Solve for x
    x = 503,402.13/712.10
  6. Step 6: Final answer
    x = 706.93

Related Problems

Find fourth proportional to 356.05, 490.88 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.