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Finding the Fourth Proportional to 529.91, 790.24 and 465.22

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Solution

The fourth proportional to 529.91, 790.24 and 465.22 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.91 : 790.24 = 465.22 : x
  2. Step 2: Convert to fraction form
    529.91/790.24 = 465.22/x
  3. Step 3: Cross multiply
    529.91x = 790.24 × 465.22
  4. Step 4: Simplify right side
    529.91x = 367,635.45
  5. Step 5: Solve for x
    x = 367,635.45/529.91
  6. Step 6: Final answer
    x = 693.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.