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Finding the Fourth Proportional to 407.51, 557.52 and 405.77

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Solution

The fourth proportional to 407.51, 557.52 and 405.77 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.51 : 557.52 = 405.77 : x
  2. Step 2: Convert to fraction form
    407.51/557.52 = 405.77/x
  3. Step 3: Cross multiply
    407.51x = 557.52 × 405.77
  4. Step 4: Simplify right side
    407.51x = 226,224.89
  5. Step 5: Solve for x
    x = 226,224.89/407.51
  6. Step 6: Final answer
    x = 555.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.