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Finding the Fourth Proportional to 840.67, 1,159.64 and 545.93

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Solution

The fourth proportional to 840.67, 1,159.64 and 545.93 is: 753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.67 : 1,159.64 = 545.93 : x
  2. Step 2: Convert to fraction form
    840.67/1,159.64 = 545.93/x
  3. Step 3: Cross multiply
    840.67x = 1,159.64 × 545.93
  4. Step 4: Simplify right side
    840.67x = 633,082.43
  5. Step 5: Solve for x
    x = 633,082.43/840.67
  6. Step 6: Final answer
    x = 753.07

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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.