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Finding the Fourth Proportional to 530.65, 794.00 and 393.46

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Solution

The fourth proportional to 530.65, 794.00 and 393.46 is: 588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.65 : 794.00 = 393.46 : x
  2. Step 2: Convert to fraction form
    530.65/794.00 = 393.46/x
  3. Step 3: Cross multiply
    530.65x = 794.00 × 393.46
  4. Step 4: Simplify right side
    530.65x = 312,406.24
  5. Step 5: Solve for x
    x = 312,406.24/530.65
  6. Step 6: Final answer
    x = 588.72

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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.