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Finding the Fourth Proportional to 584, 806.40 and 511.16

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Solution

The fourth proportional to 584, 806.40 and 511.16 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 806.40 = 511.16 : x
  2. Step 2: Convert to fraction form
    584/806.40 = 511.16/x
  3. Step 3: Cross multiply
    584x = 806.40 × 511.16
  4. Step 4: Simplify right side
    584x = 412,199.42
  5. Step 5: Solve for x
    x = 412,199.42/584
  6. Step 6: Final answer
    x = 705.82

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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.