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Finding the Fourth Proportional to 520.42, 718.10 and 321.19

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Solution

The fourth proportional to 520.42, 718.10 and 321.19 is: 443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 718.10 = 321.19 : x
  2. Step 2: Convert to fraction form
    520.42/718.10 = 321.19/x
  3. Step 3: Cross multiply
    520.42x = 718.10 × 321.19
  4. Step 4: Simplify right side
    520.42x = 230,643.14
  5. Step 5: Solve for x
    x = 230,643.14/520.42
  6. Step 6: Final answer
    x = 443.19

Related Problems

Find fourth proportional to 260.21, 359.05 and 160.59
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.