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Finding the Fourth Proportional to 601.60, 829.44 and 570.88

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Solution

The fourth proportional to 601.60, 829.44 and 570.88 is: 787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 829.44 = 570.88 : x
  2. Step 2: Convert to fraction form
    601.60/829.44 = 570.88/x
  3. Step 3: Cross multiply
    601.60x = 829.44 × 570.88
  4. Step 4: Simplify right side
    601.60x = 473,510.71
  5. Step 5: Solve for x
    x = 473,510.71/601.60
  6. Step 6: Final answer
    x = 787.09

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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.