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Finding the Fourth Proportional to 573.36, 790.43 and 407.51

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Solution

The fourth proportional to 573.36, 790.43 and 407.51 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.36 : 790.43 = 407.51 : x
  2. Step 2: Convert to fraction form
    573.36/790.43 = 407.51/x
  3. Step 3: Cross multiply
    573.36x = 790.43 × 407.51
  4. Step 4: Simplify right side
    573.36x = 322,111.09
  5. Step 5: Solve for x
    x = 322,111.09/573.36
  6. Step 6: Final answer
    x = 561.79

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Why These Related Problems?

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