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Finding the Fourth Proportional to 830.41, 1,147.26 and 707.38

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Solution

The fourth proportional to 830.41, 1,147.26 and 707.38 is: 977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.41 : 1,147.26 = 707.38 : x
  2. Step 2: Convert to fraction form
    830.41/1,147.26 = 707.38/x
  3. Step 3: Cross multiply
    830.41x = 1,147.26 × 707.38
  4. Step 4: Simplify right side
    830.41x = 811,548.78
  5. Step 5: Solve for x
    x = 811,548.78/830.41
  6. Step 6: Final answer
    x = 977.29

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1.5x scale

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.