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Finding the Fourth Proportional to 658.99, 909.44 and 410.32

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Solution

The fourth proportional to 658.99, 909.44 and 410.32 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.99 : 909.44 = 410.32 : x
  2. Step 2: Convert to fraction form
    658.99/909.44 = 410.32/x
  3. Step 3: Cross multiply
    658.99x = 909.44 × 410.32
  4. Step 4: Simplify right side
    658.99x = 373,159.37
  5. Step 5: Solve for x
    x = 373,159.37/658.99
  6. Step 6: Final answer
    x = 566.26

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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.