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Finding the Fourth Proportional to 713.51, 984.61 and 414.77

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Solution

The fourth proportional to 713.51, 984.61 and 414.77 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 984.61 = 414.77 : x
  2. Step 2: Convert to fraction form
    713.51/984.61 = 414.77/x
  3. Step 3: Cross multiply
    713.51x = 984.61 × 414.77
  4. Step 4: Simplify right side
    713.51x = 408,385.98
  5. Step 5: Solve for x
    x = 408,385.98/713.51
  6. Step 6: Final answer
    x = 572.36

Related Problems

Find fourth proportional to 356.76, 492.31 and 207.38
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.