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Finding the Fourth Proportional to 594.04, 820.14 and 470.20

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Solution

The fourth proportional to 594.04, 820.14 and 470.20 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.04 : 820.14 = 470.20 : x
  2. Step 2: Convert to fraction form
    594.04/820.14 = 470.20/x
  3. Step 3: Cross multiply
    594.04x = 820.14 × 470.20
  4. Step 4: Simplify right side
    594.04x = 385,629.83
  5. Step 5: Solve for x
    x = 385,629.83/594.04
  6. Step 6: Final answer
    x = 649.16

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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.