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Finding the Fourth Proportional to 587.34, 876.60 and 509.85

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Solution

The fourth proportional to 587.34, 876.60 and 509.85 is: 760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.34 : 876.60 = 509.85 : x
  2. Step 2: Convert to fraction form
    587.34/876.60 = 509.85/x
  3. Step 3: Cross multiply
    587.34x = 876.60 × 509.85
  4. Step 4: Simplify right side
    587.34x = 446,934.51
  5. Step 5: Solve for x
    x = 446,934.51/587.34
  6. Step 6: Final answer
    x = 760.95

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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.