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Finding the Fourth Proportional to 975.65, 1,347.10 and 603.14

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Solution

The fourth proportional to 975.65, 1,347.10 and 603.14 is: 832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.65 : 1,347.10 = 603.14 : x
  2. Step 2: Convert to fraction form
    975.65/1,347.10 = 603.14/x
  3. Step 3: Cross multiply
    975.65x = 1,347.10 × 603.14
  4. Step 4: Simplify right side
    975.65x = 812,485.02
  5. Step 5: Solve for x
    x = 812,485.02/975.65
  6. Step 6: Final answer
    x = 832.76

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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.