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Finding the Fourth Proportional to 434.68, 598.26 and 415.24

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Solution

The fourth proportional to 434.68, 598.26 and 415.24 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.68 : 598.26 = 415.24 : x
  2. Step 2: Convert to fraction form
    434.68/598.26 = 415.24/x
  3. Step 3: Cross multiply
    434.68x = 598.26 × 415.24
  4. Step 4: Simplify right side
    434.68x = 248,421.48
  5. Step 5: Solve for x
    x = 248,421.48/434.68
  6. Step 6: Final answer
    x = 571.50

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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.