Home / 1,030.20-1,421.65-564.45

Finding the Fourth Proportional to 1,030.20, 1,421.65 and 564.45

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Solution

The fourth proportional to 1,030.20, 1,421.65 and 564.45 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.20 : 1,421.65 = 564.45 : x
  2. Step 2: Convert to fraction form
    1,030.20/1,421.65 = 564.45/x
  3. Step 3: Cross multiply
    1,030.20x = 1,421.65 × 564.45
  4. Step 4: Simplify right side
    1,030.20x = 802,450.34
  5. Step 5: Solve for x
    x = 802,450.34/1,030.20
  6. Step 6: Final answer
    x = 778.93

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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.