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Finding the Fourth Proportional to 1,430.55, 1,969.77 and 1,077

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Solution

The fourth proportional to 1,430.55, 1,969.77 and 1,077 is: 1,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.55 : 1,969.77 = 1,077 : x
  2. Step 2: Convert to fraction form
    1,430.55/1,969.77 = 1,077/x
  3. Step 3: Cross multiply
    1,430.55x = 1,969.77 × 1,077
  4. Step 4: Simplify right side
    1,430.55x = 2,121,442.29
  5. Step 5: Solve for x
    x = 2,121,442.29/1,430.55
  6. Step 6: Final answer
    x = 1,482.96

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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.