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Finding the Fourth Proportional to 601.60, 830.18 and 405.08

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Solution

The fourth proportional to 601.60, 830.18 and 405.08 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 830.18 = 405.08 : x
  2. Step 2: Convert to fraction form
    601.60/830.18 = 405.08/x
  3. Step 3: Cross multiply
    601.60x = 830.18 × 405.08
  4. Step 4: Simplify right side
    601.60x = 336,289.31
  5. Step 5: Solve for x
    x = 336,289.31/601.60
  6. Step 6: Final answer
    x = 558.99

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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.