Home / 1,507.39-2,261.07-533.50

Finding the Fourth Proportional to 1,507.39, 2,261.07 and 533.50

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Solution

The fourth proportional to 1,507.39, 2,261.07 and 533.50 is: 800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.39 : 2,261.07 = 533.50 : x
  2. Step 2: Convert to fraction form
    1,507.39/2,261.07 = 533.50/x
  3. Step 3: Cross multiply
    1,507.39x = 2,261.07 × 533.50
  4. Step 4: Simplify right side
    1,507.39x = 1,206,280.85
  5. Step 5: Solve for x
    x = 1,206,280.85/1,507.39
  6. Step 6: Final answer
    x = 800.24

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1.5x scale

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.