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Finding the Fourth Proportional to 786.95, 1,085.55 and 707.67

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Solution

The fourth proportional to 786.95, 1,085.55 and 707.67 is: 976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.95 : 1,085.55 = 707.67 : x
  2. Step 2: Convert to fraction form
    786.95/1,085.55 = 707.67/x
  3. Step 3: Cross multiply
    786.95x = 1,085.55 × 707.67
  4. Step 4: Simplify right side
    786.95x = 768,211.17
  5. Step 5: Solve for x
    x = 768,211.17/786.95
  6. Step 6: Final answer
    x = 976.19

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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.