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Finding the Fourth Proportional to 521.01, 719.03 and 311.13

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Solution

The fourth proportional to 521.01, 719.03 and 311.13 is: 429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.01 : 719.03 = 311.13 : x
  2. Step 2: Convert to fraction form
    521.01/719.03 = 311.13/x
  3. Step 3: Cross multiply
    521.01x = 719.03 × 311.13
  4. Step 4: Simplify right side
    521.01x = 223,710.25
  5. Step 5: Solve for x
    x = 223,710.25/521.01
  6. Step 6: Final answer
    x = 429.38

Related Problems

Find fourth proportional to 260.51, 359.51 and 155.57
Half scale
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Double scale
Find fourth proportional to 522.01, 720.41 and 312.13
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.