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Finding the Fourth Proportional to 430.30, 594.57 and 389.53

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Solution

The fourth proportional to 430.30, 594.57 and 389.53 is: 538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.30 : 594.57 = 389.53 : x
  2. Step 2: Convert to fraction form
    430.30/594.57 = 389.53/x
  3. Step 3: Cross multiply
    430.30x = 594.57 × 389.53
  4. Step 4: Simplify right side
    430.30x = 231,602.85
  5. Step 5: Solve for x
    x = 231,602.85/430.30
  6. Step 6: Final answer
    x = 538.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.