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Finding the Fourth Proportional to 646.01, 963.65 and 598.76

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Solution

The fourth proportional to 646.01, 963.65 and 598.76 is: 893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.01 : 963.65 = 598.76 : x
  2. Step 2: Convert to fraction form
    646.01/963.65 = 598.76/x
  3. Step 3: Cross multiply
    646.01x = 963.65 × 598.76
  4. Step 4: Simplify right side
    646.01x = 576,995.07
  5. Step 5: Solve for x
    x = 576,995.07/646.01
  6. Step 6: Final answer
    x = 893.17

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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.