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Finding the Fourth Proportional to 703.54, 1,054.30 and 642.05

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Solution

The fourth proportional to 703.54, 1,054.30 and 642.05 is: 962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 1,054.30 = 642.05 : x
  2. Step 2: Convert to fraction form
    703.54/1,054.30 = 642.05/x
  3. Step 3: Cross multiply
    703.54x = 1,054.30 × 642.05
  4. Step 4: Simplify right side
    703.54x = 676,913.32
  5. Step 5: Solve for x
    x = 676,913.32/703.54
  6. Step 6: Final answer
    x = 962.15

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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.