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Finding the Fourth Proportional to 895.41, 1,235.66 and 497.10

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Solution

The fourth proportional to 895.41, 1,235.66 and 497.10 is: 685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.41 : 1,235.66 = 497.10 : x
  2. Step 2: Convert to fraction form
    895.41/1,235.66 = 497.10/x
  3. Step 3: Cross multiply
    895.41x = 1,235.66 × 497.10
  4. Step 4: Simplify right side
    895.41x = 614,242.50
  5. Step 5: Solve for x
    x = 614,242.50/895.41
  6. Step 6: Final answer
    x = 685.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.