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Finding the Fourth Proportional to 586.90, 876.43 and 514

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Solution

The fourth proportional to 586.90, 876.43 and 514 is: 767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 876.43 = 514 : x
  2. Step 2: Convert to fraction form
    586.90/876.43 = 514/x
  3. Step 3: Cross multiply
    586.90x = 876.43 × 514
  4. Step 4: Simplify right side
    586.90x = 450,485.02
  5. Step 5: Solve for x
    x = 450,485.02/586.90
  6. Step 6: Final answer
    x = 767.57

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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.