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Finding the Fourth Proportional to 877.63, 1,209.93 and 752.74

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Solution

The fourth proportional to 877.63, 1,209.93 and 752.74 is: 1,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.63 : 1,209.93 = 752.74 : x
  2. Step 2: Convert to fraction form
    877.63/1,209.93 = 752.74/x
  3. Step 3: Cross multiply
    877.63x = 1,209.93 × 752.74
  4. Step 4: Simplify right side
    877.63x = 910,762.71
  5. Step 5: Solve for x
    x = 910,762.71/877.63
  6. Step 6: Final answer
    x = 1,037.75

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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.