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Finding the Fourth Proportional to 521.04, 780.64 and 434.52

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Solution

The fourth proportional to 521.04, 780.64 and 434.52 is: 651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 780.64 = 434.52 : x
  2. Step 2: Convert to fraction form
    521.04/780.64 = 434.52/x
  3. Step 3: Cross multiply
    521.04x = 780.64 × 434.52
  4. Step 4: Simplify right side
    521.04x = 339,203.69
  5. Step 5: Solve for x
    x = 339,203.69/521.04
  6. Step 6: Final answer
    x = 651.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.