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Finding the Fourth Proportional to 1,145.13, 1,580.10 and 647.70

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Solution

The fourth proportional to 1,145.13, 1,580.10 and 647.70 is: 893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.13 : 1,580.10 = 647.70 : x
  2. Step 2: Convert to fraction form
    1,145.13/1,580.10 = 647.70/x
  3. Step 3: Cross multiply
    1,145.13x = 1,580.10 × 647.70
  4. Step 4: Simplify right side
    1,145.13x = 1,023,430.77
  5. Step 5: Solve for x
    x = 1,023,430.77/1,145.13
  6. Step 6: Final answer
    x = 893.72

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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.