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Finding the Fourth Proportional to 601.63, 830.35 and 581.38

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Solution

The fourth proportional to 601.63, 830.35 and 581.38 is: 802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.63 : 830.35 = 581.38 : x
  2. Step 2: Convert to fraction form
    601.63/830.35 = 581.38/x
  3. Step 3: Cross multiply
    601.63x = 830.35 × 581.38
  4. Step 4: Simplify right side
    601.63x = 482,747.53
  5. Step 5: Solve for x
    x = 482,747.53/601.63
  6. Step 6: Final answer
    x = 802.40

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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.