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Finding the Fourth Proportional to 581.75, 802.26 and 360.39

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Solution

The fourth proportional to 581.75, 802.26 and 360.39 is: 497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.75 : 802.26 = 360.39 : x
  2. Step 2: Convert to fraction form
    581.75/802.26 = 360.39/x
  3. Step 3: Cross multiply
    581.75x = 802.26 × 360.39
  4. Step 4: Simplify right side
    581.75x = 289,126.48
  5. Step 5: Solve for x
    x = 289,126.48/581.75
  6. Step 6: Final answer
    x = 497.00

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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.