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Finding the Fourth Proportional to 403.63, 607.94 and 384.19

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Solution

The fourth proportional to 403.63, 607.94 and 384.19 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 607.94 = 384.19 : x
  2. Step 2: Convert to fraction form
    403.63/607.94 = 384.19/x
  3. Step 3: Cross multiply
    403.63x = 607.94 × 384.19
  4. Step 4: Simplify right side
    403.63x = 233,567.51
  5. Step 5: Solve for x
    x = 233,567.51/403.63
  6. Step 6: Final answer
    x = 578.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.