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Finding the Fourth Proportional to 703.69, 1,053.51 and 442.90

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Solution

The fourth proportional to 703.69, 1,053.51 and 442.90 is: 663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,053.51 = 442.90 : x
  2. Step 2: Convert to fraction form
    703.69/1,053.51 = 442.90/x
  3. Step 3: Cross multiply
    703.69x = 1,053.51 × 442.90
  4. Step 4: Simplify right side
    703.69x = 466,599.24
  5. Step 5: Solve for x
    x = 466,599.24/703.69
  6. Step 6: Final answer
    x = 663.08

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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.