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Finding the Fourth Proportional to 582.07, 802.95 and 382.87

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Solution

The fourth proportional to 582.07, 802.95 and 382.87 is: 528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.07 : 802.95 = 382.87 : x
  2. Step 2: Convert to fraction form
    582.07/802.95 = 382.87/x
  3. Step 3: Cross multiply
    582.07x = 802.95 × 382.87
  4. Step 4: Simplify right side
    582.07x = 307,425.47
  5. Step 5: Solve for x
    x = 307,425.47/582.07
  6. Step 6: Final answer
    x = 528.16

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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.