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Finding the Fourth Proportional to 570, 853.32 and 386.16

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Solution

The fourth proportional to 570, 853.32 and 386.16 is: 578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 853.32 = 386.16 : x
  2. Step 2: Convert to fraction form
    570/853.32 = 386.16/x
  3. Step 3: Cross multiply
    570x = 853.32 × 386.16
  4. Step 4: Simplify right side
    570x = 329,518.05
  5. Step 5: Solve for x
    x = 329,518.05/570
  6. Step 6: Final answer
    x = 578.10

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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.