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Finding the Fourth Proportional to 581.60, 802.68 and 345.66

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Solution

The fourth proportional to 581.60, 802.68 and 345.66 is: 477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 802.68 = 345.66 : x
  2. Step 2: Convert to fraction form
    581.60/802.68 = 345.66/x
  3. Step 3: Cross multiply
    581.60x = 802.68 × 345.66
  4. Step 4: Simplify right side
    581.60x = 277,454.37
  5. Step 5: Solve for x
    x = 277,454.37/581.60
  6. Step 6: Final answer
    x = 477.05

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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.