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Finding the Fourth Proportional to 599.42, 893.45 and 570.17

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Solution

The fourth proportional to 599.42, 893.45 and 570.17 is: 849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 893.45 = 570.17 : x
  2. Step 2: Convert to fraction form
    599.42/893.45 = 570.17/x
  3. Step 3: Cross multiply
    599.42x = 893.45 × 570.17
  4. Step 4: Simplify right side
    599.42x = 509,411.07
  5. Step 5: Solve for x
    x = 509,411.07/599.42
  6. Step 6: Final answer
    x = 849.85

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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.