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Finding the Fourth Proportional to 430.77, 643.01 and 370.29

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Solution

The fourth proportional to 430.77, 643.01 and 370.29 is: 552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 643.01 = 370.29 : x
  2. Step 2: Convert to fraction form
    430.77/643.01 = 370.29/x
  3. Step 3: Cross multiply
    430.77x = 643.01 × 370.29
  4. Step 4: Simplify right side
    430.77x = 238,100.17
  5. Step 5: Solve for x
    x = 238,100.17/430.77
  6. Step 6: Final answer
    x = 552.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.