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Finding the Fourth Proportional to 707.40, 1,055.97 and 653.94

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Solution

The fourth proportional to 707.40, 1,055.97 and 653.94 is: 976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.40 : 1,055.97 = 653.94 : x
  2. Step 2: Convert to fraction form
    707.40/1,055.97 = 653.94/x
  3. Step 3: Cross multiply
    707.40x = 1,055.97 × 653.94
  4. Step 4: Simplify right side
    707.40x = 690,541.02
  5. Step 5: Solve for x
    x = 690,541.02/707.40
  6. Step 6: Final answer
    x = 976.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.