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Finding the Fourth Proportional to 921.59, 1,271.77 and 501.93

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Solution

The fourth proportional to 921.59, 1,271.77 and 501.93 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.59 : 1,271.77 = 501.93 : x
  2. Step 2: Convert to fraction form
    921.59/1,271.77 = 501.93/x
  3. Step 3: Cross multiply
    921.59x = 1,271.77 × 501.93
  4. Step 4: Simplify right side
    921.59x = 638,339.52
  5. Step 5: Solve for x
    x = 638,339.52/921.59
  6. Step 6: Final answer
    x = 692.65

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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.