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Finding the Fourth Proportional to 1,030.45, 1,545.83 and 336.95

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Solution

The fourth proportional to 1,030.45, 1,545.83 and 336.95 is: 505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.45 : 1,545.83 = 336.95 : x
  2. Step 2: Convert to fraction form
    1,030.45/1,545.83 = 336.95/x
  3. Step 3: Cross multiply
    1,030.45x = 1,545.83 × 336.95
  4. Step 4: Simplify right side
    1,030.45x = 520,858.00
  5. Step 5: Solve for x
    x = 520,858.00/1,030.45
  6. Step 6: Final answer
    x = 505.47

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Double scale
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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.