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Finding the Fourth Proportional to 530.89, 795.56 and 366.19

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Solution

The fourth proportional to 530.89, 795.56 and 366.19 is: 548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.89 : 795.56 = 366.19 : x
  2. Step 2: Convert to fraction form
    530.89/795.56 = 366.19/x
  3. Step 3: Cross multiply
    530.89x = 795.56 × 366.19
  4. Step 4: Simplify right side
    530.89x = 291,322.14
  5. Step 5: Solve for x
    x = 291,322.14/530.89
  6. Step 6: Final answer
    x = 548.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.