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Finding the Fourth Proportional to 703.48, 1,055.18 and 512.28

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Solution

The fourth proportional to 703.48, 1,055.18 and 512.28 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.48 : 1,055.18 = 512.28 : x
  2. Step 2: Convert to fraction form
    703.48/1,055.18 = 512.28/x
  3. Step 3: Cross multiply
    703.48x = 1,055.18 × 512.28
  4. Step 4: Simplify right side
    703.48x = 540,547.61
  5. Step 5: Solve for x
    x = 540,547.61/703.48
  6. Step 6: Final answer
    x = 768.39

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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.