Home / 1,006.45-1,501.19-975.70

Finding the Fourth Proportional to 1,006.45, 1,501.19 and 975.70

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Solution

The fourth proportional to 1,006.45, 1,501.19 and 975.70 is: 1,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.45 : 1,501.19 = 975.70 : x
  2. Step 2: Convert to fraction form
    1,006.45/1,501.19 = 975.70/x
  3. Step 3: Cross multiply
    1,006.45x = 1,501.19 × 975.70
  4. Step 4: Simplify right side
    1,006.45x = 1,464,711.08
  5. Step 5: Solve for x
    x = 1,464,711.08/1,006.45
  6. Step 6: Final answer
    x = 1,455.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.