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Finding the Fourth Proportional to 755.48, 1,041.26 and 623.10

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Solution

The fourth proportional to 755.48, 1,041.26 and 623.10 is: 858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.48 : 1,041.26 = 623.10 : x
  2. Step 2: Convert to fraction form
    755.48/1,041.26 = 623.10/x
  3. Step 3: Cross multiply
    755.48x = 1,041.26 × 623.10
  4. Step 4: Simplify right side
    755.48x = 648,809.11
  5. Step 5: Solve for x
    x = 648,809.11/755.48
  6. Step 6: Final answer
    x = 858.80

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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.