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Finding the Fourth Proportional to 689.47, 1,030.01 and 492.91

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Solution

The fourth proportional to 689.47, 1,030.01 and 492.91 is: 736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.47 : 1,030.01 = 492.91 : x
  2. Step 2: Convert to fraction form
    689.47/1,030.01 = 492.91/x
  3. Step 3: Cross multiply
    689.47x = 1,030.01 × 492.91
  4. Step 4: Simplify right side
    689.47x = 507,699.96
  5. Step 5: Solve for x
    x = 507,699.96/689.47
  6. Step 6: Final answer
    x = 736.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.