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Finding the Fourth Proportional to 612, 841.86 and 585.18

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Solution

The fourth proportional to 612, 841.86 and 585.18 is: 804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    612 : 841.86 = 585.18 : x
  2. Step 2: Convert to fraction form
    612/841.86 = 585.18/x
  3. Step 3: Cross multiply
    612x = 841.86 × 585.18
  4. Step 4: Simplify right side
    612x = 492,639.63
  5. Step 5: Solve for x
    x = 492,639.63/612
  6. Step 6: Final answer
    x = 804.97

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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.