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Finding the Fourth Proportional to 521.40, 718.71 and 410.69

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Solution

The fourth proportional to 521.40, 718.71 and 410.69 is: 566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 718.71 = 410.69 : x
  2. Step 2: Convert to fraction form
    521.40/718.71 = 410.69/x
  3. Step 3: Cross multiply
    521.40x = 718.71 × 410.69
  4. Step 4: Simplify right side
    521.40x = 295,163.42
  5. Step 5: Solve for x
    x = 295,163.42/521.40
  6. Step 6: Final answer
    x = 566.10

Related Problems

Find fourth proportional to 260.70, 359.36 and 205.34
Half scale
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Double scale
Find fourth proportional to 522.40, 720.09 and 411.69
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.