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Finding the Fourth Proportional to 583.61, 802.04 and 567.20

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Solution

The fourth proportional to 583.61, 802.04 and 567.20 is: 779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 802.04 = 567.20 : x
  2. Step 2: Convert to fraction form
    583.61/802.04 = 567.20/x
  3. Step 3: Cross multiply
    583.61x = 802.04 × 567.20
  4. Step 4: Simplify right side
    583.61x = 454,916.26
  5. Step 5: Solve for x
    x = 454,916.26/583.61
  6. Step 6: Final answer
    x = 779.49

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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.