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Finding the Fourth Proportional to 581.86, 802.66 and 345.74

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Solution

The fourth proportional to 581.86, 802.66 and 345.74 is: 476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.86 : 802.66 = 345.74 : x
  2. Step 2: Convert to fraction form
    581.86/802.66 = 345.74/x
  3. Step 3: Cross multiply
    581.86x = 802.66 × 345.74
  4. Step 4: Simplify right side
    581.86x = 277,514.21
  5. Step 5: Solve for x
    x = 277,514.21/581.86
  6. Step 6: Final answer
    x = 476.94

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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.