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Finding the Fourth Proportional to 1,005.55, 1,508.63 and 420.83

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Solution

The fourth proportional to 1,005.55, 1,508.63 and 420.83 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.55 : 1,508.63 = 420.83 : x
  2. Step 2: Convert to fraction form
    1,005.55/1,508.63 = 420.83/x
  3. Step 3: Cross multiply
    1,005.55x = 1,508.63 × 420.83
  4. Step 4: Simplify right side
    1,005.55x = 634,872.77
  5. Step 5: Solve for x
    x = 634,872.77/1,005.55
  6. Step 6: Final answer
    x = 631.37

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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.