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Finding the Fourth Proportional to 875.40, 1,312.47 and 463.98

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Solution

The fourth proportional to 875.40, 1,312.47 and 463.98 is: 695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,312.47 = 463.98 : x
  2. Step 2: Convert to fraction form
    875.40/1,312.47 = 463.98/x
  3. Step 3: Cross multiply
    875.40x = 1,312.47 × 463.98
  4. Step 4: Simplify right side
    875.40x = 608,959.83
  5. Step 5: Solve for x
    x = 608,959.83/875.40
  6. Step 6: Final answer
    x = 695.64

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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.