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Finding the Fourth Proportional to 663.04, 913.32 and 568.18

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Solution

The fourth proportional to 663.04, 913.32 and 568.18 is: 782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.04 : 913.32 = 568.18 : x
  2. Step 2: Convert to fraction form
    663.04/913.32 = 568.18/x
  3. Step 3: Cross multiply
    663.04x = 913.32 × 568.18
  4. Step 4: Simplify right side
    663.04x = 518,930.16
  5. Step 5: Solve for x
    x = 518,930.16/663.04
  6. Step 6: Final answer
    x = 782.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.