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Finding the Fourth Proportional to 602.69, 897.64 and 599.74

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Solution

The fourth proportional to 602.69, 897.64 and 599.74 is: 893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 897.64 = 599.74 : x
  2. Step 2: Convert to fraction form
    602.69/897.64 = 599.74/x
  3. Step 3: Cross multiply
    602.69x = 897.64 × 599.74
  4. Step 4: Simplify right side
    602.69x = 538,346.87
  5. Step 5: Solve for x
    x = 538,346.87/602.69
  6. Step 6: Final answer
    x = 893.25

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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.