Home / 1,505.24-2,258.02-465.30

Finding the Fourth Proportional to 1,505.24, 2,258.02 and 465.30

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Solution

The fourth proportional to 1,505.24, 2,258.02 and 465.30 is: 698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.24 : 2,258.02 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,505.24/2,258.02 = 465.30/x
  3. Step 3: Cross multiply
    1,505.24x = 2,258.02 × 465.30
  4. Step 4: Simplify right side
    1,505.24x = 1,050,656.71
  5. Step 5: Solve for x
    x = 1,050,656.71/1,505.24
  6. Step 6: Final answer
    x = 698.00

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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.