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Finding the Fourth Proportional to 430.83, 643.33 and 374.94

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Solution

The fourth proportional to 430.83, 643.33 and 374.94 is: 559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.83 : 643.33 = 374.94 : x
  2. Step 2: Convert to fraction form
    430.83/643.33 = 374.94/x
  3. Step 3: Cross multiply
    430.83x = 643.33 × 374.94
  4. Step 4: Simplify right side
    430.83x = 241,208.51
  5. Step 5: Solve for x
    x = 241,208.51/430.83
  6. Step 6: Final answer
    x = 559.87

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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.