Home / 1,220.16-1,830.80-527.04

Finding the Fourth Proportional to 1,220.16, 1,830.80 and 527.04

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Solution

The fourth proportional to 1,220.16, 1,830.80 and 527.04 is: 790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.16 : 1,830.80 = 527.04 : x
  2. Step 2: Convert to fraction form
    1,220.16/1,830.80 = 527.04/x
  3. Step 3: Cross multiply
    1,220.16x = 1,830.80 × 527.04
  4. Step 4: Simplify right side
    1,220.16x = 964,904.83
  5. Step 5: Solve for x
    x = 964,904.83/1,220.16
  6. Step 6: Final answer
    x = 790.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.