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Finding the Fourth Proportional to 430.79, 647.01 and 376.13

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Solution

The fourth proportional to 430.79, 647.01 and 376.13 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.79 : 647.01 = 376.13 : x
  2. Step 2: Convert to fraction form
    430.79/647.01 = 376.13/x
  3. Step 3: Cross multiply
    430.79x = 647.01 × 376.13
  4. Step 4: Simplify right side
    430.79x = 243,359.87
  5. Step 5: Solve for x
    x = 243,359.87/430.79
  6. Step 6: Final answer
    x = 564.92

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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.