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Finding the Fourth Proportional to 581.52, 802.59 and 345.48

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Solution

The fourth proportional to 581.52, 802.59 and 345.48 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 802.59 = 345.48 : x
  2. Step 2: Convert to fraction form
    581.52/802.59 = 345.48/x
  3. Step 3: Cross multiply
    581.52x = 802.59 × 345.48
  4. Step 4: Simplify right side
    581.52x = 277,278.79
  5. Step 5: Solve for x
    x = 277,278.79/581.52
  6. Step 6: Final answer
    x = 476.82

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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.