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Finding the Fourth Proportional to 1,357.84, 1,873.48 and 860.30

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Solution

The fourth proportional to 1,357.84, 1,873.48 and 860.30 is: 1,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.84 : 1,873.48 = 860.30 : x
  2. Step 2: Convert to fraction form
    1,357.84/1,873.48 = 860.30/x
  3. Step 3: Cross multiply
    1,357.84x = 1,873.48 × 860.30
  4. Step 4: Simplify right side
    1,357.84x = 1,611,746.70
  5. Step 5: Solve for x
    x = 1,611,746.70/1,357.84
  6. Step 6: Final answer
    x = 1,186.99

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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.