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Finding the Fourth Proportional to 830.79, 1,145.48 and 564.93

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Solution

The fourth proportional to 830.79, 1,145.48 and 564.93 is: 778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,145.48 = 564.93 : x
  2. Step 2: Convert to fraction form
    830.79/1,145.48 = 564.93/x
  3. Step 3: Cross multiply
    830.79x = 1,145.48 × 564.93
  4. Step 4: Simplify right side
    830.79x = 647,113.19
  5. Step 5: Solve for x
    x = 647,113.19/830.79
  6. Step 6: Final answer
    x = 778.91

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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.