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Finding the Fourth Proportional to 586.40, 875 and 534.66

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Solution

The fourth proportional to 586.40, 875 and 534.66 is: 797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 875 = 534.66 : x
  2. Step 2: Convert to fraction form
    586.40/875 = 534.66/x
  3. Step 3: Cross multiply
    586.40x = 875 × 534.66
  4. Step 4: Simplify right side
    586.40x = 467,827.50
  5. Step 5: Solve for x
    x = 467,827.50/586.40
  6. Step 6: Final answer
    x = 797.80

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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.