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Finding the Fourth Proportional to 583.05, 802.56 and 488.76

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Solution

The fourth proportional to 583.05, 802.56 and 488.76 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.05 : 802.56 = 488.76 : x
  2. Step 2: Convert to fraction form
    583.05/802.56 = 488.76/x
  3. Step 3: Cross multiply
    583.05x = 802.56 × 488.76
  4. Step 4: Simplify right side
    583.05x = 392,259.23
  5. Step 5: Solve for x
    x = 392,259.23/583.05
  6. Step 6: Final answer
    x = 672.77

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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.