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Finding the Fourth Proportional to 923.58, 1,275.45 and 858.06

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Solution

The fourth proportional to 923.58, 1,275.45 and 858.06 is: 1,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.58 : 1,275.45 = 858.06 : x
  2. Step 2: Convert to fraction form
    923.58/1,275.45 = 858.06/x
  3. Step 3: Cross multiply
    923.58x = 1,275.45 × 858.06
  4. Step 4: Simplify right side
    923.58x = 1,094,412.63
  5. Step 5: Solve for x
    x = 1,094,412.63/923.58
  6. Step 6: Final answer
    x = 1,184.97

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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.