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Finding the Fourth Proportional to 1,058.04, 1,587.39 and 750.50

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Solution

The fourth proportional to 1,058.04, 1,587.39 and 750.50 is: 1,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.04 : 1,587.39 = 750.50 : x
  2. Step 2: Convert to fraction form
    1,058.04/1,587.39 = 750.50/x
  3. Step 3: Cross multiply
    1,058.04x = 1,587.39 × 750.50
  4. Step 4: Simplify right side
    1,058.04x = 1,191,328.26
  5. Step 5: Solve for x
    x = 1,191,328.26/1,058.04
  6. Step 6: Final answer
    x = 1,125.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.