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Finding the Fourth Proportional to 504.10, 693.36 and 405.64

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Solution

The fourth proportional to 504.10, 693.36 and 405.64 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 693.36 = 405.64 : x
  2. Step 2: Convert to fraction form
    504.10/693.36 = 405.64/x
  3. Step 3: Cross multiply
    504.10x = 693.36 × 405.64
  4. Step 4: Simplify right side
    504.10x = 281,254.55
  5. Step 5: Solve for x
    x = 281,254.55/504.10
  6. Step 6: Final answer
    x = 557.93

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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.