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Finding the Fourth Proportional to 504.34, 695.87 and 307.78

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Solution

The fourth proportional to 504.34, 695.87 and 307.78 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.34 : 695.87 = 307.78 : x
  2. Step 2: Convert to fraction form
    504.34/695.87 = 307.78/x
  3. Step 3: Cross multiply
    504.34x = 695.87 × 307.78
  4. Step 4: Simplify right side
    504.34x = 214,173.33
  5. Step 5: Solve for x
    x = 214,173.33/504.34
  6. Step 6: Final answer
    x = 424.66

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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.