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Finding the Fourth Proportional to 425.79, 586.64 and 355.46

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Solution

The fourth proportional to 425.79, 586.64 and 355.46 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.79 : 586.64 = 355.46 : x
  2. Step 2: Convert to fraction form
    425.79/586.64 = 355.46/x
  3. Step 3: Cross multiply
    425.79x = 586.64 × 355.46
  4. Step 4: Simplify right side
    425.79x = 208,525.01
  5. Step 5: Solve for x
    x = 208,525.01/425.79
  6. Step 6: Final answer
    x = 489.74

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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.