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Finding the Fourth Proportional to 522.24, 719.87 and 365.10

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Solution

The fourth proportional to 522.24, 719.87 and 365.10 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 719.87 = 365.10 : x
  2. Step 2: Convert to fraction form
    522.24/719.87 = 365.10/x
  3. Step 3: Cross multiply
    522.24x = 719.87 × 365.10
  4. Step 4: Simplify right side
    522.24x = 262,822.71
  5. Step 5: Solve for x
    x = 262,822.71/522.24
  6. Step 6: Final answer
    x = 503.26

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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.