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Finding the Fourth Proportional to 504.10, 695.61 and 307.57

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Solution

The fourth proportional to 504.10, 695.61 and 307.57 is: 424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 695.61 = 307.57 : x
  2. Step 2: Convert to fraction form
    504.10/695.61 = 307.57/x
  3. Step 3: Cross multiply
    504.10x = 695.61 × 307.57
  4. Step 4: Simplify right side
    504.10x = 213,948.77
  5. Step 5: Solve for x
    x = 213,948.77/504.10
  6. Step 6: Final answer
    x = 424.42

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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.