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Finding the Fourth Proportional to 876.42, 1,312.45 and 510.10

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Solution

The fourth proportional to 876.42, 1,312.45 and 510.10 is: 763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.42 : 1,312.45 = 510.10 : x
  2. Step 2: Convert to fraction form
    876.42/1,312.45 = 510.10/x
  3. Step 3: Cross multiply
    876.42x = 1,312.45 × 510.10
  4. Step 4: Simplify right side
    876.42x = 669,480.75
  5. Step 5: Solve for x
    x = 669,480.75/876.42
  6. Step 6: Final answer
    x = 763.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.