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Finding the Fourth Proportional to 524.34, 720.63 and 407.70

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Solution

The fourth proportional to 524.34, 720.63 and 407.70 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 720.63 = 407.70 : x
  2. Step 2: Convert to fraction form
    524.34/720.63 = 407.70/x
  3. Step 3: Cross multiply
    524.34x = 720.63 × 407.70
  4. Step 4: Simplify right side
    524.34x = 293,800.85
  5. Step 5: Solve for x
    x = 293,800.85/524.34
  6. Step 6: Final answer
    x = 560.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.