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Finding the Fourth Proportional to 876.04, 1,312.88 and 464.30

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Solution

The fourth proportional to 876.04, 1,312.88 and 464.30 is: 695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.04 : 1,312.88 = 464.30 : x
  2. Step 2: Convert to fraction form
    876.04/1,312.88 = 464.30/x
  3. Step 3: Cross multiply
    876.04x = 1,312.88 × 464.30
  4. Step 4: Simplify right side
    876.04x = 609,570.18
  5. Step 5: Solve for x
    x = 609,570.18/876.04
  6. Step 6: Final answer
    x = 695.82

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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.