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Finding the Fourth Proportional to 1,055.57, 1,456.75 and 583.54

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Solution

The fourth proportional to 1,055.57, 1,456.75 and 583.54 is: 805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.57 : 1,456.75 = 583.54 : x
  2. Step 2: Convert to fraction form
    1,055.57/1,456.75 = 583.54/x
  3. Step 3: Cross multiply
    1,055.57x = 1,456.75 × 583.54
  4. Step 4: Simplify right side
    1,055.57x = 850,068.98
  5. Step 5: Solve for x
    x = 850,068.98/1,055.57
  6. Step 6: Final answer
    x = 805.32

Related Problems

Find fourth proportional to 527.78, 728.38 and 291.77
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.