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Finding the Fourth Proportional to 968.63, 1,453.10 and 578.93

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Solution

The fourth proportional to 968.63, 1,453.10 and 578.93 is: 868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.63 : 1,453.10 = 578.93 : x
  2. Step 2: Convert to fraction form
    968.63/1,453.10 = 578.93/x
  3. Step 3: Cross multiply
    968.63x = 1,453.10 × 578.93
  4. Step 4: Simplify right side
    968.63x = 841,233.02
  5. Step 5: Solve for x
    x = 841,233.02/968.63
  6. Step 6: Final answer
    x = 868.48

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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.