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Finding the Fourth Proportional to 707.30, 973.22 and 689.19

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Solution

The fourth proportional to 707.30, 973.22 and 689.19 is: 948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.30 : 973.22 = 689.19 : x
  2. Step 2: Convert to fraction form
    707.30/973.22 = 689.19/x
  3. Step 3: Cross multiply
    707.30x = 973.22 × 689.19
  4. Step 4: Simplify right side
    707.30x = 670,729.82
  5. Step 5: Solve for x
    x = 670,729.82/707.30
  6. Step 6: Final answer
    x = 948.29

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1.5x scale

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.