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Finding the Fourth Proportional to 758.66, 1,045.98 and 509.58

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Solution

The fourth proportional to 758.66, 1,045.98 and 509.58 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,045.98 = 509.58 : x
  2. Step 2: Convert to fraction form
    758.66/1,045.98 = 509.58/x
  3. Step 3: Cross multiply
    758.66x = 1,045.98 × 509.58
  4. Step 4: Simplify right side
    758.66x = 533,010.49
  5. Step 5: Solve for x
    x = 533,010.49/758.66
  6. Step 6: Final answer
    x = 702.57

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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.