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Finding the Fourth Proportional to 1,064.94, 1,587.86 and 1,045.50

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Solution

The fourth proportional to 1,064.94, 1,587.86 and 1,045.50 is: 1,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.94 : 1,587.86 = 1,045.50 : x
  2. Step 2: Convert to fraction form
    1,064.94/1,587.86 = 1,045.50/x
  3. Step 3: Cross multiply
    1,064.94x = 1,587.86 × 1,045.50
  4. Step 4: Simplify right side
    1,064.94x = 1,660,102.40
  5. Step 5: Solve for x
    x = 1,660,102.40/1,064.94
  6. Step 6: Final answer
    x = 1,558.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.