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Finding the Fourth Proportional to 583.02, 869.70 and 521.46

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Solution

The fourth proportional to 583.02, 869.70 and 521.46 is: 777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 869.70 = 521.46 : x
  2. Step 2: Convert to fraction form
    583.02/869.70 = 521.46/x
  3. Step 3: Cross multiply
    583.02x = 869.70 × 521.46
  4. Step 4: Simplify right side
    583.02x = 453,513.76
  5. Step 5: Solve for x
    x = 453,513.76/583.02
  6. Step 6: Final answer
    x = 777.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.