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Finding the Fourth Proportional to 601.86, 830.93 and 435.90

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Solution

The fourth proportional to 601.86, 830.93 and 435.90 is: 601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.86 : 830.93 = 435.90 : x
  2. Step 2: Convert to fraction form
    601.86/830.93 = 435.90/x
  3. Step 3: Cross multiply
    601.86x = 830.93 × 435.90
  4. Step 4: Simplify right side
    601.86x = 362,200.21
  5. Step 5: Solve for x
    x = 362,200.21/601.86
  6. Step 6: Final answer
    x = 601.80

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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.