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Finding the Fourth Proportional to 534.30, 797.57 and 469.50

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Solution

The fourth proportional to 534.30, 797.57 and 469.50 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 797.57 = 469.50 : x
  2. Step 2: Convert to fraction form
    534.30/797.57 = 469.50/x
  3. Step 3: Cross multiply
    534.30x = 797.57 × 469.50
  4. Step 4: Simplify right side
    534.30x = 374,459.12
  5. Step 5: Solve for x
    x = 374,459.12/534.30
  6. Step 6: Final answer
    x = 700.84

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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.