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Finding the Fourth Proportional to 569.04, 785.54 and 429.21

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Solution

The fourth proportional to 569.04, 785.54 and 429.21 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 785.54 = 429.21 : x
  2. Step 2: Convert to fraction form
    569.04/785.54 = 429.21/x
  3. Step 3: Cross multiply
    569.04x = 785.54 × 429.21
  4. Step 4: Simplify right side
    569.04x = 337,159.48
  5. Step 5: Solve for x
    x = 337,159.48/569.04
  6. Step 6: Final answer
    x = 592.51

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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.