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Finding the Fourth Proportional to 745.47, 1,109.75 and 710.10

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Solution

The fourth proportional to 745.47, 1,109.75 and 710.10 is: 1,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.47 : 1,109.75 = 710.10 : x
  2. Step 2: Convert to fraction form
    745.47/1,109.75 = 710.10/x
  3. Step 3: Cross multiply
    745.47x = 1,109.75 × 710.10
  4. Step 4: Simplify right side
    745.47x = 788,029.92
  5. Step 5: Solve for x
    x = 788,029.92/745.47
  6. Step 6: Final answer
    x = 1,057.09

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1.5x scale

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.