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Finding the Fourth Proportional to 582.84, 802.90 and 482.84

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Solution

The fourth proportional to 582.84, 802.90 and 482.84 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.84 : 802.90 = 482.84 : x
  2. Step 2: Convert to fraction form
    582.84/802.90 = 482.84/x
  3. Step 3: Cross multiply
    582.84x = 802.90 × 482.84
  4. Step 4: Simplify right side
    582.84x = 387,672.24
  5. Step 5: Solve for x
    x = 387,672.24/582.84
  6. Step 6: Final answer
    x = 665.14

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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.