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Finding the Fourth Proportional to 583.29, 803.58 and 472.72

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Solution

The fourth proportional to 583.29, 803.58 and 472.72 is: 651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.29 : 803.58 = 472.72 : x
  2. Step 2: Convert to fraction form
    583.29/803.58 = 472.72/x
  3. Step 3: Cross multiply
    583.29x = 803.58 × 472.72
  4. Step 4: Simplify right side
    583.29x = 379,868.34
  5. Step 5: Solve for x
    x = 379,868.34/583.29
  6. Step 6: Final answer
    x = 651.25

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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.