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Finding the Fourth Proportional to 1,554.75, 2,145.64 and 965.48

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Solution

The fourth proportional to 1,554.75, 2,145.64 and 965.48 is: 1,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.75 : 2,145.64 = 965.48 : x
  2. Step 2: Convert to fraction form
    1,554.75/2,145.64 = 965.48/x
  3. Step 3: Cross multiply
    1,554.75x = 2,145.64 × 965.48
  4. Step 4: Simplify right side
    1,554.75x = 2,071,572.51
  5. Step 5: Solve for x
    x = 2,071,572.51/1,554.75
  6. Step 6: Final answer
    x = 1,332.42

Related Problems

Find fourth proportional to 777.38, 1,072.82 and 482.74
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.