Home / 1,030.17-1,421.55-564.42

Finding the Fourth Proportional to 1,030.17, 1,421.55 and 564.42

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Solution

The fourth proportional to 1,030.17, 1,421.55 and 564.42 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.17 : 1,421.55 = 564.42 : x
  2. Step 2: Convert to fraction form
    1,030.17/1,421.55 = 564.42/x
  3. Step 3: Cross multiply
    1,030.17x = 1,421.55 × 564.42
  4. Step 4: Simplify right side
    1,030.17x = 802,351.25
  5. Step 5: Solve for x
    x = 802,351.25/1,030.17
  6. Step 6: Final answer
    x = 778.85

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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.