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Finding the Fourth Proportional to 583.65, 805.53 and 397.01

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Solution

The fourth proportional to 583.65, 805.53 and 397.01 is: 547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 805.53 = 397.01 : x
  2. Step 2: Convert to fraction form
    583.65/805.53 = 397.01/x
  3. Step 3: Cross multiply
    583.65x = 805.53 × 397.01
  4. Step 4: Simplify right side
    583.65x = 319,803.47
  5. Step 5: Solve for x
    x = 319,803.47/583.65
  6. Step 6: Final answer
    x = 547.94

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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.