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Finding the Fourth Proportional to 975.13, 1,345.67 and 561.13

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Solution

The fourth proportional to 975.13, 1,345.67 and 561.13 is: 774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.13 : 1,345.67 = 561.13 : x
  2. Step 2: Convert to fraction form
    975.13/1,345.67 = 561.13/x
  3. Step 3: Cross multiply
    975.13x = 1,345.67 × 561.13
  4. Step 4: Simplify right side
    975.13x = 755,095.81
  5. Step 5: Solve for x
    x = 755,095.81/975.13
  6. Step 6: Final answer
    x = 774.35

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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.