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Finding the Fourth Proportional to 710.77, 981.01 and 477.76

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Solution

The fourth proportional to 710.77, 981.01 and 477.76 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.77 : 981.01 = 477.76 : x
  2. Step 2: Convert to fraction form
    710.77/981.01 = 477.76/x
  3. Step 3: Cross multiply
    710.77x = 981.01 × 477.76
  4. Step 4: Simplify right side
    710.77x = 468,684.89
  5. Step 5: Solve for x
    x = 468,684.89/710.77
  6. Step 6: Final answer
    x = 659.41

Related Problems

Find fourth proportional to 355.38, 490.51 and 238.88
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.