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Finding the Fourth Proportional to 830.90, 1,130.78 and 830.90

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Solution

The fourth proportional to 830.90, 1,130.78 and 830.90 is: 1,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.90 : 1,130.78 = 830.90 : x
  2. Step 2: Convert to fraction form
    830.90/1,130.78 = 830.90/x
  3. Step 3: Cross multiply
    830.90x = 1,130.78 × 830.90
  4. Step 4: Simplify right side
    830.90x = 939,565.10
  5. Step 5: Solve for x
    x = 939,565.10/830.90
  6. Step 6: Final answer
    x = 1,130.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.