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Finding the Fourth Proportional to 975.04, 1,345.68 and 561.04

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Solution

The fourth proportional to 975.04, 1,345.68 and 561.04 is: 774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,345.68 = 561.04 : x
  2. Step 2: Convert to fraction form
    975.04/1,345.68 = 561.04/x
  3. Step 3: Cross multiply
    975.04x = 1,345.68 × 561.04
  4. Step 4: Simplify right side
    975.04x = 754,980.31
  5. Step 5: Solve for x
    x = 754,980.31/975.04
  6. Step 6: Final answer
    x = 774.31

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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.