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Finding the Fourth Proportional to 570.58, 786.67 and 383.94

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Solution

The fourth proportional to 570.58, 786.67 and 383.94 is: 529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.58 : 786.67 = 383.94 : x
  2. Step 2: Convert to fraction form
    570.58/786.67 = 383.94/x
  3. Step 3: Cross multiply
    570.58x = 786.67 × 383.94
  4. Step 4: Simplify right side
    570.58x = 302,033.12
  5. Step 5: Solve for x
    x = 302,033.12/570.58
  6. Step 6: Final answer
    x = 529.35

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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.