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Finding the Fourth Proportional to 975.12, 1,345.44 and 561.12

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Solution

The fourth proportional to 975.12, 1,345.44 and 561.12 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.12 : 1,345.44 = 561.12 : x
  2. Step 2: Convert to fraction form
    975.12/1,345.44 = 561.12/x
  3. Step 3: Cross multiply
    975.12x = 1,345.44 × 561.12
  4. Step 4: Simplify right side
    975.12x = 754,953.29
  5. Step 5: Solve for x
    x = 754,953.29/975.12
  6. Step 6: Final answer
    x = 774.22

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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.