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Finding the Fourth Proportional to 582, 802.55 and 416.16

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Solution

The fourth proportional to 582, 802.55 and 416.16 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 802.55 = 416.16 : x
  2. Step 2: Convert to fraction form
    582/802.55 = 416.16/x
  3. Step 3: Cross multiply
    582x = 802.55 × 416.16
  4. Step 4: Simplify right side
    582x = 333,989.21
  5. Step 5: Solve for x
    x = 333,989.21/582
  6. Step 6: Final answer
    x = 573.86

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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.