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Finding the Fourth Proportional to 601.56, 829.44 and 570.78

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Solution

The fourth proportional to 601.56, 829.44 and 570.78 is: 787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 829.44 = 570.78 : x
  2. Step 2: Convert to fraction form
    601.56/829.44 = 570.78/x
  3. Step 3: Cross multiply
    601.56x = 829.44 × 570.78
  4. Step 4: Simplify right side
    601.56x = 473,427.76
  5. Step 5: Solve for x
    x = 473,427.76/601.56
  6. Step 6: Final answer
    x = 787.00

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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.