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Finding the Fourth Proportional to 583.02, 870.26 and 506.52

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Solution

The fourth proportional to 583.02, 870.26 and 506.52 is: 756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 870.26 = 506.52 : x
  2. Step 2: Convert to fraction form
    583.02/870.26 = 506.52/x
  3. Step 3: Cross multiply
    583.02x = 870.26 × 506.52
  4. Step 4: Simplify right side
    583.02x = 440,801.56
  5. Step 5: Solve for x
    x = 440,801.56/583.02
  6. Step 6: Final answer
    x = 756.07

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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.