Home / 1,030.25-1,421.75-564.49

Finding the Fourth Proportional to 1,030.25, 1,421.75 and 564.49

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Solution

The fourth proportional to 1,030.25, 1,421.75 and 564.49 is: 779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.25 : 1,421.75 = 564.49 : x
  2. Step 2: Convert to fraction form
    1,030.25/1,421.75 = 564.49/x
  3. Step 3: Cross multiply
    1,030.25x = 1,421.75 × 564.49
  4. Step 4: Simplify right side
    1,030.25x = 802,560.84
  5. Step 5: Solve for x
    x = 802,560.84/1,030.25
  6. Step 6: Final answer
    x = 779.00

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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.