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Finding the Fourth Proportional to 1,159.51, 1,745.98 and 853.50

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Solution

The fourth proportional to 1,159.51, 1,745.98 and 853.50 is: 1,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.51 : 1,745.98 = 853.50 : x
  2. Step 2: Convert to fraction form
    1,159.51/1,745.98 = 853.50/x
  3. Step 3: Cross multiply
    1,159.51x = 1,745.98 × 853.50
  4. Step 4: Simplify right side
    1,159.51x = 1,490,196.08
  5. Step 5: Solve for x
    x = 1,490,196.08/1,159.51
  6. Step 6: Final answer
    x = 1,285.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.