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Finding the Fourth Proportional to 584.16, 807.43 and 513.69

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Solution

The fourth proportional to 584.16, 807.43 and 513.69 is: 710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 807.43 = 513.69 : x
  2. Step 2: Convert to fraction form
    584.16/807.43 = 513.69/x
  3. Step 3: Cross multiply
    584.16x = 807.43 × 513.69
  4. Step 4: Simplify right side
    584.16x = 414,768.72
  5. Step 5: Solve for x
    x = 414,768.72/584.16
  6. Step 6: Final answer
    x = 710.03

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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.