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Finding the Fourth Proportional to 583.44, 870 and 543.72

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Solution

The fourth proportional to 583.44, 870 and 543.72 is: 810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.44 : 870 = 543.72 : x
  2. Step 2: Convert to fraction form
    583.44/870 = 543.72/x
  3. Step 3: Cross multiply
    583.44x = 870 × 543.72
  4. Step 4: Simplify right side
    583.44x = 473,036.40
  5. Step 5: Solve for x
    x = 473,036.40/583.44
  6. Step 6: Final answer
    x = 810.77

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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.