Home / 1,030.08-1,421.49-564.33

Finding the Fourth Proportional to 1,030.08, 1,421.49 and 564.33

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Solution

The fourth proportional to 1,030.08, 1,421.49 and 564.33 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.08 : 1,421.49 = 564.33 : x
  2. Step 2: Convert to fraction form
    1,030.08/1,421.49 = 564.33/x
  3. Step 3: Cross multiply
    1,030.08x = 1,421.49 × 564.33
  4. Step 4: Simplify right side
    1,030.08x = 802,189.45
  5. Step 5: Solve for x
    x = 802,189.45/1,030.08
  6. Step 6: Final answer
    x = 778.76

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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.