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Finding the Fourth Proportional to 510.15, 707.61 and 491.70

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Solution

The fourth proportional to 510.15, 707.61 and 491.70 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.15 : 707.61 = 491.70 : x
  2. Step 2: Convert to fraction form
    510.15/707.61 = 491.70/x
  3. Step 3: Cross multiply
    510.15x = 707.61 × 491.70
  4. Step 4: Simplify right side
    510.15x = 347,931.84
  5. Step 5: Solve for x
    x = 347,931.84/510.15
  6. Step 6: Final answer
    x = 682.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.