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Finding the Fourth Proportional to 917.47, 1,373.51 and 569.69

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Solution

The fourth proportional to 917.47, 1,373.51 and 569.69 is: 852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.47 : 1,373.51 = 569.69 : x
  2. Step 2: Convert to fraction form
    917.47/1,373.51 = 569.69/x
  3. Step 3: Cross multiply
    917.47x = 1,373.51 × 569.69
  4. Step 4: Simplify right side
    917.47x = 782,474.91
  5. Step 5: Solve for x
    x = 782,474.91/917.47
  6. Step 6: Final answer
    x = 852.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.