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Finding the Fourth Proportional to 458.08, 689.56 and 430

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Solution

The fourth proportional to 458.08, 689.56 and 430 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.08 : 689.56 = 430 : x
  2. Step 2: Convert to fraction form
    458.08/689.56 = 430/x
  3. Step 3: Cross multiply
    458.08x = 689.56 × 430
  4. Step 4: Simplify right side
    458.08x = 296,510.80
  5. Step 5: Solve for x
    x = 296,510.80/458.08
  6. Step 6: Final answer
    x = 647.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.