Home / 1,507.30-2,261.02-533.50

Finding the Fourth Proportional to 1,507.30, 2,261.02 and 533.50

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Solution

The fourth proportional to 1,507.30, 2,261.02 and 533.50 is: 800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.30 : 2,261.02 = 533.50 : x
  2. Step 2: Convert to fraction form
    1,507.30/2,261.02 = 533.50/x
  3. Step 3: Cross multiply
    1,507.30x = 2,261.02 × 533.50
  4. Step 4: Simplify right side
    1,507.30x = 1,206,254.17
  5. Step 5: Solve for x
    x = 1,206,254.17/1,507.30
  6. Step 6: Final answer
    x = 800.27

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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.