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Finding the Fourth Proportional to 425.76, 586.26 and 384.60

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Solution

The fourth proportional to 425.76, 586.26 and 384.60 is: 529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 586.26 = 384.60 : x
  2. Step 2: Convert to fraction form
    425.76/586.26 = 384.60/x
  3. Step 3: Cross multiply
    425.76x = 586.26 × 384.60
  4. Step 4: Simplify right side
    425.76x = 225,475.60
  5. Step 5: Solve for x
    x = 225,475.60/425.76
  6. Step 6: Final answer
    x = 529.58

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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.