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Finding the Fourth Proportional to 582.14, 802.73 and 416.28

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Solution

The fourth proportional to 582.14, 802.73 and 416.28 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 802.73 = 416.28 : x
  2. Step 2: Convert to fraction form
    582.14/802.73 = 416.28/x
  3. Step 3: Cross multiply
    582.14x = 802.73 × 416.28
  4. Step 4: Simplify right side
    582.14x = 334,158.36
  5. Step 5: Solve for x
    x = 334,158.36/582.14
  6. Step 6: Final answer
    x = 574.02

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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.