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Finding the Fourth Proportional to 754.70, 1,130.70 and 646.70

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Solution

The fourth proportional to 754.70, 1,130.70 and 646.70 is: 968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.70 : 1,130.70 = 646.70 : x
  2. Step 2: Convert to fraction form
    754.70/1,130.70 = 646.70/x
  3. Step 3: Cross multiply
    754.70x = 1,130.70 × 646.70
  4. Step 4: Simplify right side
    754.70x = 731,223.69
  5. Step 5: Solve for x
    x = 731,223.69/754.70
  6. Step 6: Final answer
    x = 968.89

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1.5x scale

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.