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Finding the Fourth Proportional to 745.90, 1,030.70 and 709.85

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Solution

The fourth proportional to 745.90, 1,030.70 and 709.85 is: 980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.90 : 1,030.70 = 709.85 : x
  2. Step 2: Convert to fraction form
    745.90/1,030.70 = 709.85/x
  3. Step 3: Cross multiply
    745.90x = 1,030.70 × 709.85
  4. Step 4: Simplify right side
    745.90x = 731,646.75
  5. Step 5: Solve for x
    x = 731,646.75/745.90
  6. Step 6: Final answer
    x = 980.89

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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.