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Finding the Fourth Proportional to 703.07, 1,055.31 and 574.58

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Solution

The fourth proportional to 703.07, 1,055.31 and 574.58 is: 862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.07 : 1,055.31 = 574.58 : x
  2. Step 2: Convert to fraction form
    703.07/1,055.31 = 574.58/x
  3. Step 3: Cross multiply
    703.07x = 1,055.31 × 574.58
  4. Step 4: Simplify right side
    703.07x = 606,360.02
  5. Step 5: Solve for x
    x = 606,360.02/703.07
  6. Step 6: Final answer
    x = 862.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.