Home / 1,326.16-1,830.23-766.45

Finding the Fourth Proportional to 1,326.16, 1,830.23 and 766.45

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Solution

The fourth proportional to 1,326.16, 1,830.23 and 766.45 is: 1,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.16 : 1,830.23 = 766.45 : x
  2. Step 2: Convert to fraction form
    1,326.16/1,830.23 = 766.45/x
  3. Step 3: Cross multiply
    1,326.16x = 1,830.23 × 766.45
  4. Step 4: Simplify right side
    1,326.16x = 1,402,779.78
  5. Step 5: Solve for x
    x = 1,402,779.78/1,326.16
  6. Step 6: Final answer
    x = 1,057.78

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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.