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Finding the Fourth Proportional to 690.08, 1,030.05 and 608.06

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Solution

The fourth proportional to 690.08, 1,030.05 and 608.06 is: 907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 1,030.05 = 608.06 : x
  2. Step 2: Convert to fraction form
    690.08/1,030.05 = 608.06/x
  3. Step 3: Cross multiply
    690.08x = 1,030.05 × 608.06
  4. Step 4: Simplify right side
    690.08x = 626,329.16
  5. Step 5: Solve for x
    x = 626,329.16/690.08
  6. Step 6: Final answer
    x = 907.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.