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Finding the Fourth Proportional to 534.30, 797.34 and 472.74

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Solution

The fourth proportional to 534.30, 797.34 and 472.74 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 797.34 = 472.74 : x
  2. Step 2: Convert to fraction form
    534.30/797.34 = 472.74/x
  3. Step 3: Cross multiply
    534.30x = 797.34 × 472.74
  4. Step 4: Simplify right side
    534.30x = 376,934.51
  5. Step 5: Solve for x
    x = 376,934.51/534.30
  6. Step 6: Final answer
    x = 705.47

Related Problems

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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.