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Finding the Fourth Proportional to 1,173.02, 1,618.26 and 707

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Solution

The fourth proportional to 1,173.02, 1,618.26 and 707 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.02 : 1,618.26 = 707 : x
  2. Step 2: Convert to fraction form
    1,173.02/1,618.26 = 707/x
  3. Step 3: Cross multiply
    1,173.02x = 1,618.26 × 707
  4. Step 4: Simplify right side
    1,173.02x = 1,144,109.82
  5. Step 5: Solve for x
    x = 1,144,109.82/1,173.02
  6. Step 6: Final answer
    x = 975.35

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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.