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Finding the Fourth Proportional to 875.45, 1,312.66 and 435.80

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Solution

The fourth proportional to 875.45, 1,312.66 and 435.80 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.45 : 1,312.66 = 435.80 : x
  2. Step 2: Convert to fraction form
    875.45/1,312.66 = 435.80/x
  3. Step 3: Cross multiply
    875.45x = 1,312.66 × 435.80
  4. Step 4: Simplify right side
    875.45x = 572,061.05
  5. Step 5: Solve for x
    x = 572,061.05/875.45
  6. Step 6: Final answer
    x = 653.45

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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.