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Finding the Fourth Proportional to 594.47, 820.19 and 384.65

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Solution

The fourth proportional to 594.47, 820.19 and 384.65 is: 530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.47 : 820.19 = 384.65 : x
  2. Step 2: Convert to fraction form
    594.47/820.19 = 384.65/x
  3. Step 3: Cross multiply
    594.47x = 820.19 × 384.65
  4. Step 4: Simplify right side
    594.47x = 315,480.06
  5. Step 5: Solve for x
    x = 315,480.06/594.47
  6. Step 6: Final answer
    x = 530.70

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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.