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Finding the Fourth Proportional to 607.68, 835.20 and 570.24

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Solution

The fourth proportional to 607.68, 835.20 and 570.24 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 835.20 = 570.24 : x
  2. Step 2: Convert to fraction form
    607.68/835.20 = 570.24/x
  3. Step 3: Cross multiply
    607.68x = 835.20 × 570.24
  4. Step 4: Simplify right side
    607.68x = 476,264.45
  5. Step 5: Solve for x
    x = 476,264.45/607.68
  6. Step 6: Final answer
    x = 783.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.