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Finding the Fourth Proportional to 530.90, 792.94 and 458

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Solution

The fourth proportional to 530.90, 792.94 and 458 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.90 : 792.94 = 458 : x
  2. Step 2: Convert to fraction form
    530.90/792.94 = 458/x
  3. Step 3: Cross multiply
    530.90x = 792.94 × 458
  4. Step 4: Simplify right side
    530.90x = 363,164.23
  5. Step 5: Solve for x
    x = 363,164.23/530.90
  6. Step 6: Final answer
    x = 684.05

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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.