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Finding the Fourth Proportional to 875.19, 1,206.96 and 543.50

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Solution

The fourth proportional to 875.19, 1,206.96 and 543.50 is: 749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.19 : 1,206.96 = 543.50 : x
  2. Step 2: Convert to fraction form
    875.19/1,206.96 = 543.50/x
  3. Step 3: Cross multiply
    875.19x = 1,206.96 × 543.50
  4. Step 4: Simplify right side
    875.19x = 655,982.76
  5. Step 5: Solve for x
    x = 655,982.76/875.19
  6. Step 6: Final answer
    x = 749.53

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1.5x scale

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.