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Finding the Fourth Proportional to 521.04, 718.60 and 469.84

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Solution

The fourth proportional to 521.04, 718.60 and 469.84 is: 647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 718.60 = 469.84 : x
  2. Step 2: Convert to fraction form
    521.04/718.60 = 469.84/x
  3. Step 3: Cross multiply
    521.04x = 718.60 × 469.84
  4. Step 4: Simplify right side
    521.04x = 337,627.02
  5. Step 5: Solve for x
    x = 337,627.02/521.04
  6. Step 6: Final answer
    x = 647.99

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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.