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Finding the Fourth Proportional to 522.12, 719.10 and 390.90

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Solution

The fourth proportional to 522.12, 719.10 and 390.90 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 719.10 = 390.90 : x
  2. Step 2: Convert to fraction form
    522.12/719.10 = 390.90/x
  3. Step 3: Cross multiply
    522.12x = 719.10 × 390.90
  4. Step 4: Simplify right side
    522.12x = 281,096.19
  5. Step 5: Solve for x
    x = 281,096.19/522.12
  6. Step 6: Final answer
    x = 538.37

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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.