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Finding the Fourth Proportional to 830.40, 1,145.28 and 597.76

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Solution

The fourth proportional to 830.40, 1,145.28 and 597.76 is: 824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.40 : 1,145.28 = 597.76 : x
  2. Step 2: Convert to fraction form
    830.40/1,145.28 = 597.76/x
  3. Step 3: Cross multiply
    830.40x = 1,145.28 × 597.76
  4. Step 4: Simplify right side
    830.40x = 684,602.57
  5. Step 5: Solve for x
    x = 684,602.57/830.40
  6. Step 6: Final answer
    x = 824.43

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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.