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Finding the Fourth Proportional to 830.79, 1,144.94 and 597.51

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Solution

The fourth proportional to 830.79, 1,144.94 and 597.51 is: 823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,144.94 = 597.51 : x
  2. Step 2: Convert to fraction form
    830.79/1,144.94 = 597.51/x
  3. Step 3: Cross multiply
    830.79x = 1,144.94 × 597.51
  4. Step 4: Simplify right side
    830.79x = 684,110.11
  5. Step 5: Solve for x
    x = 684,110.11/830.79
  6. Step 6: Final answer
    x = 823.45

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1.5x scale

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.