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Finding the Fourth Proportional to 569.04, 784.80 and 429.36

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Solution

The fourth proportional to 569.04, 784.80 and 429.36 is: 592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 784.80 = 429.36 : x
  2. Step 2: Convert to fraction form
    569.04/784.80 = 429.36/x
  3. Step 3: Cross multiply
    569.04x = 784.80 × 429.36
  4. Step 4: Simplify right side
    569.04x = 336,961.73
  5. Step 5: Solve for x
    x = 336,961.73/569.04
  6. Step 6: Final answer
    x = 592.16

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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.