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Finding the Fourth Proportional to 745.22, 1,029.06 and 710.20

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Solution

The fourth proportional to 745.22, 1,029.06 and 710.20 is: 980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.22 : 1,029.06 = 710.20 : x
  2. Step 2: Convert to fraction form
    745.22/1,029.06 = 710.20/x
  3. Step 3: Cross multiply
    745.22x = 1,029.06 × 710.20
  4. Step 4: Simplify right side
    745.22x = 730,838.41
  5. Step 5: Solve for x
    x = 730,838.41/745.22
  6. Step 6: Final answer
    x = 980.70

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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.