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Finding the Fourth Proportional to 1,054.50, 1,580.69 and 507.08

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Solution

The fourth proportional to 1,054.50, 1,580.69 and 507.08 is: 760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.50 : 1,580.69 = 507.08 : x
  2. Step 2: Convert to fraction form
    1,054.50/1,580.69 = 507.08/x
  3. Step 3: Cross multiply
    1,054.50x = 1,580.69 × 507.08
  4. Step 4: Simplify right side
    1,054.50x = 801,525.85
  5. Step 5: Solve for x
    x = 801,525.85/1,054.50
  6. Step 6: Final answer
    x = 760.10

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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.