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Finding the Fourth Proportional to 745.64, 1,026.34 and 652.15

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Solution

The fourth proportional to 745.64, 1,026.34 and 652.15 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.64 : 1,026.34 = 652.15 : x
  2. Step 2: Convert to fraction form
    745.64/1,026.34 = 652.15/x
  3. Step 3: Cross multiply
    745.64x = 1,026.34 × 652.15
  4. Step 4: Simplify right side
    745.64x = 669,327.28
  5. Step 5: Solve for x
    x = 669,327.28/745.64
  6. Step 6: Final answer
    x = 897.66

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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.