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Finding the Fourth Proportional to 897.66, 1,344.51 and 653.63

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Solution

The fourth proportional to 897.66, 1,344.51 and 653.63 is: 979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.66 : 1,344.51 = 653.63 : x
  2. Step 2: Convert to fraction form
    897.66/1,344.51 = 653.63/x
  3. Step 3: Cross multiply
    897.66x = 1,344.51 × 653.63
  4. Step 4: Simplify right side
    897.66x = 878,805.35
  5. Step 5: Solve for x
    x = 878,805.35/897.66
  6. Step 6: Final answer
    x = 979.00

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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.