Home / 1,503.04-2,254.54-407.40

Finding the Fourth Proportional to 1,503.04, 2,254.54 and 407.40

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Solution

The fourth proportional to 1,503.04, 2,254.54 and 407.40 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.04 : 2,254.54 = 407.40 : x
  2. Step 2: Convert to fraction form
    1,503.04/2,254.54 = 407.40/x
  3. Step 3: Cross multiply
    1,503.04x = 2,254.54 × 407.40
  4. Step 4: Simplify right side
    1,503.04x = 918,499.60
  5. Step 5: Solve for x
    x = 918,499.60/1,503.04
  6. Step 6: Final answer
    x = 611.09

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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.