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Finding the Fourth Proportional to 1,352.77, 1,866.47 and 821.23

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Solution

The fourth proportional to 1,352.77, 1,866.47 and 821.23 is: 1,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.77 : 1,866.47 = 821.23 : x
  2. Step 2: Convert to fraction form
    1,352.77/1,866.47 = 821.23/x
  3. Step 3: Cross multiply
    1,352.77x = 1,866.47 × 821.23
  4. Step 4: Simplify right side
    1,352.77x = 1,532,792.39
  5. Step 5: Solve for x
    x = 1,532,792.39/1,352.77
  6. Step 6: Final answer
    x = 1,133.08

Related Problems

Find fourth proportional to 676.38, 933.23 and 410.61
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.