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Finding the Fourth Proportional to 530.16, 793.69 and 393.81

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Solution

The fourth proportional to 530.16, 793.69 and 393.81 is: 589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.16 : 793.69 = 393.81 : x
  2. Step 2: Convert to fraction form
    530.16/793.69 = 393.81/x
  3. Step 3: Cross multiply
    530.16x = 793.69 × 393.81
  4. Step 4: Simplify right side
    530.16x = 312,558.11
  5. Step 5: Solve for x
    x = 312,558.11/530.16
  6. Step 6: Final answer
    x = 589.56

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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.