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Finding the Fourth Proportional to 655.93, 970.51 and 654.13

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Solution

The fourth proportional to 655.93, 970.51 and 654.13 is: 967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.93 : 970.51 = 654.13 : x
  2. Step 2: Convert to fraction form
    655.93/970.51 = 654.13/x
  3. Step 3: Cross multiply
    655.93x = 970.51 × 654.13
  4. Step 4: Simplify right side
    655.93x = 634,839.71
  5. Step 5: Solve for x
    x = 634,839.71/655.93
  6. Step 6: Final answer
    x = 967.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.