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Finding the Fourth Proportional to 570.02, 850.55 and 535.19

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Solution

The fourth proportional to 570.02, 850.55 and 535.19 is: 798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 850.55 = 535.19 : x
  2. Step 2: Convert to fraction form
    570.02/850.55 = 535.19/x
  3. Step 3: Cross multiply
    570.02x = 850.55 × 535.19
  4. Step 4: Simplify right side
    570.02x = 455,200.26
  5. Step 5: Solve for x
    x = 455,200.26/570.02
  6. Step 6: Final answer
    x = 798.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.