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Finding the Fourth Proportional to 465.76, 695.35 and 400.78

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Solution

The fourth proportional to 465.76, 695.35 and 400.78 is: 598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 695.35 = 400.78 : x
  2. Step 2: Convert to fraction form
    465.76/695.35 = 400.78/x
  3. Step 3: Cross multiply
    465.76x = 695.35 × 400.78
  4. Step 4: Simplify right side
    465.76x = 278,682.37
  5. Step 5: Solve for x
    x = 278,682.37/465.76
  6. Step 6: Final answer
    x = 598.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.