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Finding the Fourth Proportional to 584.72, 802.64 and 517.76

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Solution

The fourth proportional to 584.72, 802.64 and 517.76 is: 710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 802.64 = 517.76 : x
  2. Step 2: Convert to fraction form
    584.72/802.64 = 517.76/x
  3. Step 3: Cross multiply
    584.72x = 802.64 × 517.76
  4. Step 4: Simplify right side
    584.72x = 415,574.89
  5. Step 5: Solve for x
    x = 415,574.89/584.72
  6. Step 6: Final answer
    x = 710.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.