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Finding the Fourth Proportional to 646.58, 968.05 and 601.02

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Solution

The fourth proportional to 646.58, 968.05 and 601.02 is: 899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.58 : 968.05 = 601.02 : x
  2. Step 2: Convert to fraction form
    646.58/968.05 = 601.02/x
  3. Step 3: Cross multiply
    646.58x = 968.05 × 601.02
  4. Step 4: Simplify right side
    646.58x = 581,818.16
  5. Step 5: Solve for x
    x = 581,818.16/646.58
  6. Step 6: Final answer
    x = 899.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.