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Finding the Fourth Proportional to 711.36, 1,069.28 and 590.40

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Solution

The fourth proportional to 711.36, 1,069.28 and 590.40 is: 887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 1,069.28 = 590.40 : x
  2. Step 2: Convert to fraction form
    711.36/1,069.28 = 590.40/x
  3. Step 3: Cross multiply
    711.36x = 1,069.28 × 590.40
  4. Step 4: Simplify right side
    711.36x = 631,302.91
  5. Step 5: Solve for x
    x = 631,302.91/711.36
  6. Step 6: Final answer
    x = 887.46

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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.