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Finding the Fourth Proportional to 569.77, 787.05 and 436.19

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Solution

The fourth proportional to 569.77, 787.05 and 436.19 is: 602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 787.05 = 436.19 : x
  2. Step 2: Convert to fraction form
    569.77/787.05 = 436.19/x
  3. Step 3: Cross multiply
    569.77x = 787.05 × 436.19
  4. Step 4: Simplify right side
    569.77x = 343,299.40
  5. Step 5: Solve for x
    x = 343,299.40/569.77
  6. Step 6: Final answer
    x = 602.53

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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.